{
 "cells": [
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-30T03:05:46.324263Z",
     "start_time": "2025-05-30T03:05:46.017367Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import silhouette_score\n",
    "\n",
    "# 生成模拟数据\n",
    "X, _ = make_blobs(n_samples=300, centers=4, random_state=42, cluster_std=2.0)\n",
    "\n",
    "# 使用KMeans进行聚类\n",
    "kmeans = KMeans(n_clusters=4, random_state=42)\n",
    "kmeans.fit(X)\n",
    "\n",
    "# 获取聚类标签\n",
    "labels = kmeans.labels_\n",
    "\n",
    "# 计算轮廓系数\n",
    "silhouette_avg = silhouette_score(X, labels)\n",
    "print(\"Silhouette Coefficient:\", silhouette_avg)\n",
    "\n",
    "# 可视化聚类结果\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis')\n",
    "plt.title(\"K-Means Clustering\")\n",
    "plt.xlabel(\"Feature 1\")\n",
    "plt.ylabel(\"Feature 2\")\n",
    "plt.show()\n"
   ],
   "id": "989d31e0243773b6",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Silhouette Coefficient: 0.6000347806038385\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\PythonProject\\Anaconda3-2024\\envs\\test\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  super()._check_params_vs_input(X, default_n_init=10)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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oX78+69at83ouZYosG5QpuHygrkP5QF2H8oG6DuUDoy4qT1RIBefDDz9ky5YtTJs2LXfb7t27c7v4eoPJZFIf5DJEnf/ygboO5QN1HcoH6jqUD4p7HSpEob8L6dmzJxs3bmTq1KkcPXqU7777jnnz5jFixIiyFk2hUCgUCkU5oEIqOK1bt+bDDz9k/vz5DBo0iG+//Zb33nuPdu3albVoCoVCoVAoygEVxkW1Z8+ePK/79OlDnz59ykgahUKhUCgU5ZkKacFRKBQKhUKhcIdScBQKhUKhUFx0VBgXlUKhUBSElHbI+gOZ+TfIDDBVQwTcgLA0KWvRFApFGaIUHIVCUWGRtq3IxHGgxwAmQAc0ZPrXSGtvRNi7CC2ojKVUKBRlgXJRKRSKCom070HG3wl6XPYWJyCz/w9k/YVMvB8pnWUkoUKhKEuUgqNQKCokMvV9wI7LalMQOtjWQdbfpSeUQqEoNygFR6FQVDik83S24uLJOmNCps8sBYkUCkV5Qyk4CoWi4uE4gMsd5QknOHaVtDQKhaIcohQchUJRAfHm1qVucwrFpYjKolIoFBUPSzNcty+Hh4EmsFxWpCWk4xg49oPQwNwSYYoq0jwKhaJsUAqOQqGocAgtHOk/GDIX4D4Ox4kIus2ruaX9P2TKO2Bbc95WE9J/ACLkcYSpelFEVigUpYyy3SoUigqJCBkPWiSu+jeF4D8MLB0NzyltG5FxN7myr/LghMzfkHFDXZYdhUJR7lEKjkKhqJAIU1VE1I9gaZe9RcNllBaAHwSNQYS9ghDC0HxS2pAJD+ByexWUeu4EPRGZ9D9fiK9QKEoY5aJSKBQVFmGqgYj6DmnfA1l/I2UGwlQN/AcitBDvJstcAjLBwyAn2Dch7XtUKwiFopyjFByFQlHhEZYmYGmCMVtNwcis5bjcXZ5q62iQtRyUgqNQlGuUi0qhUCgAZCaFV0U+Hw0pM0taGoVCUUyUgqNQKBQAphoYuyU6EKYaJS2NQqEoJkrBUSgUCkAEDMWzewrAH/z7lbQ4CoWimCgFR6FQlBhSSqTzBNK+G+mMKWtx3CIsjcF6NZ5uiyJ4FEILLh2hFApFkVFBxgqFwudIKSFzATJtKjh2n9vu1wURNBphvaIMpSscEfY2MnEc2FaTN+A4+98Bt0HQuLITUKFQGEYpOAqFwqdIKZHJr0DGDPJZQ2wbkLZ1EPoiIvCWMpHPHUILhIipYFuFTP8O7DsBE/h1QgTeivBrU9YiKhQKgygFR6FQ+JbMBdnKDeTPSnJZRGTyi2BpjbC0KEXBjCGEBtbuCGv3shZFoVAUAxWDo1AofIaUEpn2JZ5vLRoy7dvSEEmhUFyiKAVHoVD4Dv0kOPbguZ6Mq7eTQqFQlBRKwVEoFL5DT/FicAZSGimsp1AoFN6jFByFQuE7tErGx4owV7yLQqFQlAAqyFihUHiFlK5AYSFM+fYJUyWkX1ewrcO9m8oEAUOLLoOeDrbl4IwDLQysVyG00CLPp1AoLj6UgqNQKDwiZRZk/OwKDHbuc20zN0UE3gEB1yGEX+5YETQaaVvrZjYBmBGBtxVBDgcy9WNI/wZkevZcEvBDBtyICH0SIfzdz6EnQMZcpG0L4ARzY0TAjQhzTa/lUSgU5Rel4CgUCrdIPRkZfw84tsP5/bode5DJz0LGTxAxNbe6r7B2hdCXkMkv4PKCn9/+wASYERGfI8y1vJND6sjExyBrMS6lhvP+b4OM75GOvRD5dR6FK88c6T+4avTgOHd81t/ItM+RgXcjQp5UbjOF4iJBfZMVCoVbZOJj4NiZ8+r8Pa7/2f9FJj2d5xgReDMiai74XwciIHtjOATejai0qGiVjDN/g6zfLpDhfHSw/wPpMwt+HxnzkMnPA/bsOXLmcbr+nf41MuUd7+VSKBTlEmXBUSi8IO5UAku+/ovD/x1FM2m06NqU3rd1IzAkoKxFKxGkY78r1sUtOmT9jnQcRZhr524VlhaI8DeBN5FSL7ZlRKZ/i+s3mfvMK5k+HQLvyrOelHZk8hueF0n/Chl0B8JUvViyKhSKskcpOAqFAaSUfPP8LL5/82eQ2b/8hWDZzJVMfnw64yePofdt3cpWyBJAZiwgb0+mwtAg81cIHlvg3mIrN9IB9s1GRoLzBOhnwFTt3OasP0EmGDheINNnI0IeLqqoCoWinKAUHIXCANMm/MB3r8+9YKtL0clKz+LNOz7C7Gfmqhu7lL5wJYkeS564m0IRSD3W0Mii4fA85Hyk/YLD9+G63XmaR2aP9TBK6mBbjUyfDc4jIAIQ1qsg4EaEyYtUeYVCUWKoGByFwgMxx+NclhsPfPrI1zidniwdFQxhNPVaejG2KFhBizY41h9MlYHsrKvMP89lTHlEQAHp7+cj9QRk/M3IhJGQtRQcu8C+GZn6ITLmKmTGrwblVCgUJYlScBQKDyye+idCeLZNxJ9KYMOiLaUgUekh/PtjzHriRPj3Kzk5hMhOK/d0yzJBwA0I4e8KKo7pjky8D2yrKTw4+XwkwtKh8L3SiUwYDfbt2VvOV5p0wI5MegyZtdLAWgqFoiRRCo7ikiUzPYvV8zbw29RlrJm/kayMrALHHdx+BKl7bilgMps4uO2Ir8UsWyxtwNwSVxxOYZjA0hFhaVaysgTenF0puTBZNJerKGgkMv07ZNL/sl1s4Lk3Vg5+EDCk8N1Zf4H9XzxZg2TKewbXUygUJYWKwVFccjjsDr55fhbzJy0mIzUzd3tgaCA3PDyQ2ycMw2Q+9xAVmgAhzgUXF4KUEk27uH4zCCEg4hNk3M2gx5D/wW4CUzVE+MSSl0WLhMiZyIQR4DzGuYyq7GJ/WgQi4ksQAdm1boqwRthLCC2k0P0y/Qc8B11LcOxE2neVvNKnUCgK5eK6GysUHnA6nLw49F1mvT0/j3IDkJ6czoxXf+L1Wz9AP89i06xzY0Nz606dZpc38qm85QFhqo6I+hmC7gERfN6OMAgaiYiagzBVKR1ZzHUQlRYjwj8Ga2+XhcnvKkTY24jovxGWFpAxG2PuKMi9BWrRiLAPEAE3uB/uPIixWB5cwccKhaLMUBYcxSXFkq//Yv2vmwofIGHFT+vo8t0q+tzeHYB+d/fgq2e/w2ErPBZFaILqDarSpkcLX4tcLhCmKETI/5DBj7jSsBFgql5oxeASlUVYwL9foTE/0rYRwy4pvx6IwJvA2r3A3lr5sRqWE0r/3CgUinMoC47ikkFKydyPFnkMGNY0wc8fLsx9HRoVwtiJdxc6XmgCTdN49Iv7DAUjV2SE8EOY6yHMdctEuTGG0ZRyDWHtgvDvaVC5AazdcB+PlIMF/NoZlEOhUJQEyoKjuGRIjkvhyH/HPI7TdcneTQfJSMskIMjVuHHw/f2wWC1MeWI6KQlpmCwmV005h5MqdaJ5/KuxtO7ePM88pw6e4dfPf2f5T2tJT86gUvVI+o/oxdV39yA4PKhE3mNFQDqOIjNmgX0PoCH82vm2foy5Mdg24tmVpIO5oVdTi8BbkOnfeBhlAv/BCC3Cq7kVCoVvUQqO4pLB7sbFVBC31rqPgaP6cN0D/alcqxL9R/Si123dWP3zBg7vyG7VcEVT2vdplS+4+M/vV/H2XR8jpSs2ByAlIZXPH/uG716fy1tLJ9CgTV1fvbUKgZQ6MuUtSJ/G+U04pW0FpH4EIU8igu72PI+eCvb/AAeY6yPOr1gMiICbXO0aPKFVBz/vCjMKcz0I+Z/rfRRIdtB16P+8mlehUPgepeAoLhnCKoXgH2QlM63gdPALSU1M46f3f+HXyb/zxuLnaH55Y/ysFnrefAVQeLPI7St38eYdHyH1CwJdJUgkKQmp/K/Py0zdOZHw6LBivKOKhUx9F9K/zn51Yf0YkCmvg/BHBN5c8PF6PDLlA8j4Gci5hgLpdyUiZDyYW7iagjqPgaUr2NfiNtjYrw3Y1iL9unjVSkIEjQQt0iWLfuq8PRpY+yFCJ7gyvhQKRZmiYnAUlwwWPwv9R/RCMxv/2OtOnczUTJ4Z8BpJscmGjpn56k9uY3F0p05KQiq/ffmnYTkqOtJ5GtK+8jwu5R2kzK+ASmcsMm5YdobU+fsl2NYg44YjY3oj44YgEx8C+5rzxhQUM6NB5u/IhHuQsX2QWeu9ej8iYAgi+i9ExHRE6GuIsPcQ0SvRIj5AmKLOSaenIrNWIDOXIO07kB5KDSgUCt+hFBzFJcWwRwcTEOSPZvJCydEl6SkZ/DbVs0ISezKeTUu35bqlCkPqkoVTlhqWocKTMcfYOJkCmb/n35z8HDhPUXBcjRNwgH78wqNwFf8LBlODC/bp5+ZynnQpOt4qOUJDWC9HBN6ICBiMMJ1rJSH1VPTkV5FnuyIT7kUmPoiMuwEZew0yc4lX6ygUiqKhFBzFJUWVOtG8s+wFQiJd9VyMZj1JXfL7tL88jos7EW9YlriTxsdWdKRjv8GR5nxjpeO4q4Kw0fozedBdSpPzkPsx6MjkZ31iYZF6GjL+dkifAeSttYTzgEvZSZtR7HUUCoV7VAyO4qIiKTaZ379ZztFdxzGZTbTu3owrh16On9WSO6ZR+/rMOPQpf/+wmvmTfmP/lsOG5j57LJb1izbTrnerPPOdj3+Q8TopfgHlNc26JDBjrCu5RIgLbku2FcVc20hNHB2cR8G2Fqxdi7WaTP0QHLsLWdelQMmUV8B6hStoWaFQlAjKgqO4KJBS8s0Ls7ip+mi+ePJblk5fzuKv/+SN2z/i5hqjWfvLP3nG+wda6T+iF498PsbwGlnpNp4b9AY3Vx/FzNfm5Kl2nEOtpjWoXNtzurPJrNH1ussMr13REX4dMWaBcYLlgvMiMyidW5Upu89U0ZF6OmTMwrNSpSHTvy/WWgqFwj1KwVFcFHz17PfMeOUnnA4nUpc4HU6cdtcDNTUhlReGvM3GJVvzHdewfT0q1YzKt90dKQlpTHv+B965e1I+l4amadzw8DV48nw5HTrXjevv1boVGv/BIAJxb8XRwFQH/DpfsLkqRXNPeYso/jr2rdkKmSeckDEP6fCunYOUGcj0n9DjhqGf6Yx+9ir05BeR9n1FkVahuKhRCo6iwnP68Fl+eOvnQvdLCUj45MGp+RQSk8nEjY8O9n5RCX/MWMHKOevy7br+wQFcPqhjgfE9OdvuffN2mna6+PpWFYbQAhGhr+e8KmCEBpgQYW/lP2/+vUGURmFEh6tIYHEoIAOs8LGJyNi+6PEjwXnW83DnCWTsYGTyM2DfDjLBlaaePgsZNwhpIEtNobiUUAqOosKz6Is/PHbxllJycv9pti3fmW/f9Q8NoPdt3QDjQccAmknj548W5dtuMpt4Yc7j3PPqLURUyVvnpk6Lmjw361Fu+t91hte5WBABAxHhn4KWU5hPI/cWZG6IiJyJ8Guf/zjhjwgy7kosMloUWHsVbw5TDe+Psa2BxFswa4WXIZDShoy/J7sPGOSt7+MEJDLlTWTGwgKOViguTVSQsaLCs3/LIY9p2eBSSPZvOZSvIaamafzvmwdo06MFcz9cyOEdnts5gKuezY5Vu7Hb7Fj88gYdm8wmbnl6CMOfuJY9G/eTnpJJVPUI6raoddH3q3KH8O8N1p6uYF7HbkADSzuwtHF/XoLGgDMGMr7FVdcmx5WkYbixpifZQp7NH+Ds7RyWxkhzczdBxgXhBP0MVUN+AroXPCRzMTgPe1odmfoR+A+8pD9jCkUOSsFRVHyMpnq7SQHWNI0BI3vTf0Qvdq3by8NXPGd4eYfNkU/BycFkNtG8SxPDc1V0pHRC1gpk5m8gk0CLRPgPgvOqBQuhgfUK159BhBCIsAnIgEHI9Jkuq4d0grmRK74n/Vtw7qVoCo+GCHsdETDIy+MKkTXkEWSCdxYngZOowOWgp4EpNN9+mf4jnt+bdKXD27e5qjQrFJc4SsFRVHiCQgMMjZO6pEkn980VhRA0aFsXi78Fe6bd45yhUSH4ZzfkvNSRjsPIhFHgPMI5K4sJmTHHFdsSMQVhql6sNYRfO1dzzgvXDrwBsv5Epv/gWl/PABmP21YNOfhdjgi4oVhy5ZHR2gNCX0cmP4s3gcuaZkM69+TPIoNs15RBxU0/DSgFR6FQMTiXALEn4tjy53a2r9xFeoqRDI+KQ2piGmvmbzQ0tnazGrTo6tmaYg2w0qFPa4/jNE0waExf5Q4ApDMGGX8rOHOqCTvz/t9xABl/G7rjBHr69+hxt6HH9EWPHYpMm4rUE4q1vhAWhH8/tMiv0aL/RIQ+gyHlBhOYahdr7QLlCRyKqPQHBN2LV7dZWUhDWC3Qi8WVwq1QgLLgXNTs33KIac//wIZFW3LdM9YAP66+uyd3vTScsEr5TeEVjaXTl2PPMtYl/M6XbjKkjGRlZLFtRf5g5AvRTBrXXpDqLaVky7LtzJ+0mK1/7sBhd1CjcTUG39ePPnd0J+AitfbI9K9BT6Bwa4XTZYWI7Zn/2JQdkPoxhE9CeOG2cot/H0gOApnmYaATETDUN2tegDDXRIQ8hm77B+xb8GSBkVJAYYX/rH3AccDjHIgAsHQskrwKxcVGhbDg2Gw2Bg0axPr153rFHDt2jLvvvpu2bdsycOBAVq1aVYYSlj/+Xf4fD3V9ho2Lt+aJPcnKsLFwylIe6Pw0CWcSy05AH7F+0WbD5fXTk9INjfvrhzWkJ3u2dDnsTmwZttzXuq7z0dgvePLqV1i/cBPpKRnYMu0c3n6Mj8Z9wbiOTxJbAdozSPse9KQJ6Gc6op9ujn62G3rKh0jnmYLHSzukz6LoNWQkyAxkwhikfXeR5T4fIQIQQaM9jDKB3xWIEo5XEYG34VG5wURiZkfQogvc7+qw7kk51yBgOEIrjZR6haL8U+4VnKysLB599FH27TtXyEpKybhx46hUqRJz5szhuuuu44EHHuDkyZNlKGn5ITM9ixdveAen3VlgdpHu1Dl7NJaJYyaXgXS+JTM10/MgXLE1WecpI+7YsGgTQvNs6RFCsH7R5tzXs96az6+TXQ00nY5z511KCRJOHjjNswNfL7ACcnlBps9Cxl0LGT+BTMbVxPIMpH2GjO2PtP2T/yA91tXvqXgrA05kWsGfSSltLjeY7skicx5B90Hgndkvzu8onv1vSxtE+EdFEdY7/PuBpQ0FdzUH123YwunkGwudQpiqIcLexKXkFHTb1sDcHBE8vtjiKhQXC+Vawdm/fz/Dhw/n6NGjebavW7eOY8eO8fLLL9OgQQPGjBlD27ZtmTPHYMfii5y/Z60hNSENXS/csqE7ddb+8g+nD3suMFaeqdagCiaz54+xlJKqdSsbmjMjNRPp5tzlIDRBVrpLabJl2pj19jy3450OnYPbjvDPkuK1Aygp9PQ5yOQJ5CgbF+zNtrKMQjpPX7CvsAe3tzghczFST8rdIu170ROfQp5ph4y5Anm2HXrc7cjMZR5nE0KghT6HiJwN/oNcFZG1SuDXGRE+CRE5A6GF+Eh2d3JYEBFfnhc8nHO+sj+3WjiEf0Wmo5b7eQKuQ0R8BZYL4sNEMASNyH4/XsTqKBQXOeU6BmfDhg107tyZ8ePH07Zt29zt//77L82bNycw8NyXuUOHDmzdurX0hSyHrPv1H4QmPD6kBbBh0RauHduvdAQrAfqP6MUf33puxhheOYyO/Yy5IqrUjsZk1vJYYQpCd+pE13K1eVi/aAtpBlxgmknj92/+otOA/JlAZUWg5QAkvg92T8Ha2UpO+g+IkEfObdYqgVYddF9YUJ3gPIPEiUx+CzILqFBt/weZuAEZOBIR8j/PcVXmegi/9khTZcAPYe0GlnYlEhwupe6K+xF+CHGu8arQwiDyG7BvQ2b8DM5ToAUirL3B/2qkbgK2epxfWK9AWK9AOg65ArqFP1haIVRgcZlg0x2czkhEE4Kq/uGYNV8p+wpfUK4VnFtvvbXA7TExMVSunPfXeFRUFKdPX/jL0jNOZ2n0uCld0pMzDFogNNJTM8rkHOSsWdy1W1zRhJbdmrFzzR63xf5unzAUoQlD6/W58yoWfvGHx3GBIQF0HtQep9NJ7PFYhBAe44Fc7sG4cvO5c2auo1H0i2A36jbTkemzcQY+mHdzwO2Q9g7CUOaShxWy/oHU1wGXdSy/GpIta/pUdFND8L++4ImkDumTIP1LwI7LciIhbRLS1BhC33XV0clzjHQV1JNprngYUxVjQjvPuIoQZs5GSFdFYt3c3nVerP3P1WoytYTglueWy347Xn8fRG0wZ2d/6VA6vboufoxeh7isFGYeXsX8E5tId7rac4RZArmhZiduqdOVEIux0hWKgvF0HYx+T8q1glMYGRkZ+Pn55dnm5+eHzWYsxuJ8tm/f7iuxyg2mYIFm0jxW99WdOunOlDK1fPni/N/wYj+SH0ni6PaTCJNAOl0PWc0k0J2SPqOvpEbnaMPvU1olDTrW4eDmo24VxW53dGL33l0AxCTEGAp2FgKcmqNcWBsFdlpUfQihOb1TTPQYtv27Bl2es6AKWtAougGBloMIUbQYIynB7gzDkvIK4PRYv1FKyEp4n11nalOQt71G2DSig5acN8952XaOfehxw9kT8xpZjuqATlTgMiqHLMTffC6YOiWrOWdSriclq1WhcgRYDtOw0quYREbe927finBsJu70zxxNvK9AGS/kYrwfVUTcXYdYZxrvJv5Nip6Fft73JsmezrRDy1l09B8eC+9BiGYtdA6FMYr7faiQCo7VaiUxMTHPNpvNhr+/92baVq1aYTJdXGZF8yP+/DN/m6GxVaKr5nH/lRZOp5Pt27f77Px33nAZGxZtYeHkpRzZdRyzxUyHvq0ZdN/V1G3pPrahIN76rTETBr/JrnX78iiLOa6r6x7oz33v35Xr5qhbvR5zXvsN3YNbS0oYcGefMjnn+chciEgpQnCwgNZ1PoWwaXB+awP5A6S8hMz6FZdtQgDSY+7PuXkFFr8o0FMNHSME+JtjaFv7BQj7PG8fKPtOROISN8dKNJFJs+qTIXwupD4NWb9wob0o2LqbYOsbEPwSBBQQBCzTIe4BkJmICzKlcpSdyKCVRFa+DAJHFSqPr78PiqLh6TpIKbl93SekSlse5SZ3P5JYPZ057OaDtneVhsgXJZ6uQ85+T1RIBadKlSrs378/z7bY2Nh8bisjmEymi+6G0rp7c1p1a8b2Vbs81jr7eOyXtO/dmmr1DJrifYyvzr/JZOLKIZ25ckhnH0gFYVGhvL/8ZdbM38iCz5ZweMcxzBYTbXq04Lpx/fO1X4iqFkmvm6/kz+9XFWo50zRBQGgAvW/r5tPPnJS27AJ7OphqIETB5nEpnWBbCfb/XK9tG5CYEF66NwSAfRPC8TfC/1z8ltQdSIxltRU0q7C0B/tmjBXoO+9I50FIvBUR9TPC5Eqz1lNnkbdnVUEr4mrvkHQrOHJ+EMgLxmRfy9QXENZ2CEve6y7TFyFlnHv5ANK/RgSPQAg/t2MvxvtRRaSw67Ap7iAHU90nZjilzvq4/RzPiKdOcMFp/wpjFPf7UCEVnDZt2jBlyhQyMzNzrTabNm2iQ4cOZSxZ+UAIwbPfP8Ktde736KaSEhZOXsq9b95eStJVHMwWM92HdaH7sC6Gxj/w8QgObjvC4f+O5TvvmknDbDHx8rwnfVbsT+rJyLQvIP0HV98nAAKQgUMRQaMRpqrnxmb+iUx+MbuMf84NozhxGxoybUaugiP1JGTczeA8xjklwaiiEgBBd4BfN0i4owiy6KDHIdOmIEKfdW2ybcLw+3MYsXZqyLSZEDAwux3EPsACusG6RjIBbOvB2s3YeB8hZSZkLERm/ACOoyCsYO2FCLwVYWlcqrJcDPx5ZgcmoeGU7u+rGoI/z/zHPcE9SkcwRYGU6zTxwujUqRPVqlXj6aefZt++fUyZMoVt27YxbNiwshat3HBi/2lDHbZ1p87KOetKQaKLn6CwICaufIXhT1xHSMS5YmuaSePKIZ34ZP0btO7e3CdrSWccMm4YpH15nnIDkAHp3yPjhrgybQCZuRSZeL+rng3gevAXNyhVB8eec/KkfpKt3Bid1wSWzhD6CqLKOrSQxxFacDHkcULGbKTMKdDo61pDTsj8CZlwJ2QtAcc+cOzMVhgNYlQZ8hHSeQoZey0y+Wmwb3cpWfppyJiFjBuETJtaqvJcDKTYMw3F2mlCkGK/uNriVEQqpAXHZDLx6aef8uyzz3LDDTdQp04dJk2aRPXqxWvkdzGR4UXPqfSUoroVFBcSGBLAyNdv5Y4XbuTozuPYbQ6q1a9MeHSYT9eRSU+6USicoCciE+5DRs2HpGdyjso3sniJ0q6jpcyAjNmFyFIIplqIgGsg4MbcLuOYG4EIzS4wWARkustKYWkClpbZTT99qejkBCkXUTnUfPsZcIeUNmT8XdmfEch7Hlzyy5S3QKvisy7qlwKR1mBX3J2nbEkpibQWR2FX+IIKo+Ds2bMnz+s6deowY8aMMpKm/FOpZpShcUKQW8tF4Tv8rBYatiukr1AxkY5DYPNU+8cJzkMu5SaPhcdXmMAvu+eRfa9LufAG5xFk8vNg2whh7yCEhhB+yICbIP2LYksnAm9BZv5S7Hl8hggFP2OuTp+Q+bsr3d0tApn6IfhfoxrGGqR/tTZ8d9hYW6C+1Tw37FWULBXSRaXwTP3WdajTopbHG5cEBozsXTpCKXxD5lIMf3WzfvViYm8eck5EYE7clt2L43LI/gWc+Qukn/uhIkIeBBFehPlwNZrMqQ1j6QB+/d2PLzUEBN6Rp/BfSSMzfsTzZ0S6rFz28llZuzzSNKwG7SPrYRKFn1sNwdXVWlPFv/QsdoqCUQrORYoQgjtfuNGtv1gzaURVi6D3baUb+KgoHKfDydpf/uGHt+Yx+71f2LV+X75rKGUyvv7qSjQw1cr+qwn4u1lDgP914He566WpbrHkkWlfuSoAg6sib8QXRZjPlO3uCsieRyAi3gVTAwPHltRtMFthtPZGBI8roTUKISerztBY1cPPG95seyv1girn+zmgZW9pE1GHp1sMKX3BFPmoMC4qhfd0H9aFMe/eyeTHp+dtPSBAIAivHMbbf7xAYMilVXVTSsmZIzGkJ2cQWS3c5/ExReXP71cx+fFviD+ViGbSQLo6lNdvXYfHpt5P4w6uh7XQopE+D6LVEUH3Znetzg5QTXwC7BtwKQAartgNCwTdhQh+NNc6KEyVkNY+kLWMIsWn6CfBsRssrgBsza8NMmIqMuF+MJR2bgItChE0Js9WIfwg4jNk7CByqiLnR7j+gka5ArZz32cOWvYYo+/LTG6sjrkRIvAOCBiGEKWc+i286CheSFkBRcGE+wXxVZf7WHB8Ez8eWcvR9FgAGoZUZXidLgyo3haLph6t5QF1FS5yhj06mLa9WrLg0yWsmb+RrAwblWtV4prRfeh3dw+Cwry4EfoAp8PJ+oWbWfrt3xzdd5wqNZdw1Y1d6HFTV6wBvjXhpyWlsfTbFezZuB+pSxq0rYvJbGLRF39wZOdx1yABl/Vvxy1PDaFVt2Zu5zt16Ay/fr6UTUv/xW5zUKdZTQaN6Uu73q2KHcPw29RlvD/q89zX52fAHf7vGOO7P8/EFS+7lBz/AZDyRrHWy4+/qyFlNsJUDRE1A+nYD5l/ImUGwlQF/AcitNB8R4vgB5FZK3C5noqgfMnUvPNZr4DKf0P6HGTmr6AnuuJ8ZBLnFK7spqDmZoiIj3Nr4ORBCwVrb8j6rYBFXfOI8IkI/35I/2uQaTNcWVIy3dVjK2AYICBtEobS3qMWILQgVzq2iCi72BZrH1eml8dr4Q9+l3kYo7gQf5Mfw+t0YXidLjh0J0IIt24rRdkgpJGct4sQp9PJ1q1badu2rSqsVUqcPnyWp/u/yvG9p3KrA+c0BQ2rFMorvzxFs86NPE9kgF8nL+Wz8V9jz3IgNNdDptACfCYNqUuemDaOvndcVeCYORN/ZfLj0xGayFfVuG3Plrz48xMEhRatk3NyfAo31xiNPctR6BjNpFG3RS0+3/IOQgj0xKchcy7eFsUrDBn0DKaQu4s3h22Ty+oiE3EpD8YVHVFpMcJc3/MajqOQOR/pjAUtGGG9GiytC1QkpPMMMv5mcJ6mYAtMAERMRrNe7n5NPQl59kpcVqDCzrcJ/LqgRX7l8T0UhK/vR9J5GhnTizztKfKhQeBtaKETir3exYJ6LpQPPF0Ho9dJqZyKUiE1MY3He77IyYOuWiw5SkJOr6eUhFSe7Psyx/edKvZav01dxof3T8GWaUdKie7U3dYE0p06UkreHfEpR3efyLf/92/+5vPHvsmdK4ccl9+2FTt55cb3DNXHKIjfp/2Nw+beBaI7dQ5uO8LuDa4K3iLsBTC3dHuMe1yuF4mZ40m3Q2BRCuzlRfh1QFReiQh722VBMNU2chSYmxtSbgCEuTYi+EG0sJfQQp5A+LUp1EoiE8e7UW4AbJDymsfrJrQwRNhb5+TNhwm0cETYK4beQ2kgTFWzZRYUfJvXXJav4EdLWTKFovRQCo6iVPjty2WcPRZbaK8m3aljy7Txw5s/F2udrIwsPn/smyIdKwT88mne/kVOp5Ovn/ve7XG6U2fT0m38t2aP23GFsWP1boxYYjRNY8eq3dmy+kPkTBDe1toQoFUD/36I4Mchajkxqdd4L3RhswsrIuB6tIhPEJGzQITg/jYjQQQi7ft8JgOAtO8C+z+4j51xuooV2jd5nE8EDEREfJG/+zgaWHsiouYgzu+F5WOknop0xrjachhEBAxGRHwFljYX7AiGwHsQkTNd7jSF4iJFxeAoSoUFny5x25kbXBaRZTNXMvaDe4oc+Lzip3WkJxetgqjTofP3rNWM+2hE7rYty3YQe8JzBVqTWWPRF3/Q8oqmXq/rsDk81Q0DQGjgtJ9zOWiaPzLoPmTqu16sJhFhLyGsPVwvnU7gqDfiGkaYoiBiKjJhRHadnEKsaPYtyLihEDkV4UU8iLTvRWZ8B1mrQTqyg3pvAWt3ZObveOpF5cKEzFyCyKnp4+79WLu72kk4toPjEGAGvw55WmL4EiklZC5Cpn8D9q3ZW63IgCGIoHsQZs91loT1CoT1ClftJOdxEP5gaeVSkBWKixyl4Fxk2DJtmMwmTObC/ZIHtx1hxU9rSUtKJ7xyGL1uvbJEm23GnYrn9GH3DepycNgcxByLpU5z7zuAAxz89whmiwmHvWjVZtMuqAB9cv/pnKbYbnE6dI7vLZp7rW6LWmxcvNVjaw2nQ6dOiwvOS9BIsO+ErEUGVjK5Urr9SrEsgKUFhL4KKe+DXpgi5QQkMuE+iF7utmWDlHakng5pX0P6p+RRYmynkba/wdwKzE0xXNdHGu+oLoQAS2vXXwkipUQmP5ddIfp8C1iWqyVFxjyI+AJhNdZcVpjrgQGFSKG4mFAKzkVAclwKv3z+O798toS4kwkANO/ahCEPDqD7jV3QNNcNMu5UAq/f8gHbVuzEZNZcwaq6ZNrzP9B92OU8PnUsAcG+TRn9Y8YK3hv5qVfHmP2K/rHUNFGssNuIynlTxv38LYbjeK2B7jtFF8bAUX2Y9fZ8j+MiqobTaUA7ANdDPnOBq/Gj41i2q0pz0+ZAgKkaInKqT1KWz1lP1oHMcK1vae4qsGeKAj0DbGsh609XDySP6K5Mqsz5EHhb/vVsG5FpX7vmK6DtQJ5/O7a7/oyiVTI+trRIn56t3EB+y1e2Qpg4BqL/RGiRpSycQlExUApOBefkgdM81uMF4k4l5HEB7V6/j9fW7GHlnHU8890jpCWnM77bBM4ejQHOBcjmsGruBmJPJPDOshfws1p8Itu6Xzfx1l0fe5XoE1U9gqr1Khd5zaaXN8b57oIiHatpGv3v6ZVnW7verQxZcIQmuKxf2yKtW71BVa4d249fPlvi1lV133t3YTKbkI5jyIS7sou5ZQsnIfeXvl9vV1q1Ywugu/o+Bd7mKoSnhRRJxhyklMjUDyDtM/JlSjn3uRSU4syf8ZtL1vO3pX2FTHkTl7XG9000hf91Pp6zeEjpRKZ96WGUDjIT0n+C4NGlIpdCUdFQQcYVGKfDydMDXiP+dGK++JYcd8eKOeuY9vwsZr+zgDNHYvIpNueP37lmD8tmeOpxZAwpJV88+S3Ci/L/QhNcN25AsdIzu17bkfDKYXhbfkTTBNYgPwaO7pNne5U60XS+pgMms/uvislsot89Pb0VN5exH9zDtWNdrQU0U/ZawuUSMfuZGT/lPnrdciVSZiET7gZnjjvs/OuefW1tyxBBtyGq7EJU2YUWvQwRNKLYyg0A6dOylZvz1vMZMl/fLJm1Ilu5geJ3QC8AUwMwlZx7tkjYt53X+d0dOrKYCqVCcTGjFJwKzNpf/uHk/tPuYzck/PzRQn6Z/LvHGA+hCeZ/UlBBNO/ZvWE/R3edMJw6rZk0mnZqyA2PDCzWuiazice+vB8QhousaSYNa6CV1xc+Q1S1iHz7H/50FGHRYWgFKDlCCBDwxNfjCKuUvwCeN3I/8PFIvtn3MTc+NpjO17TniusuY9TbdzDr5BQG3pvdLyxzkZsu4rlSIVM/yu7yPRc97lb0mD7osUORaVORuhGXUX6kzEKmflKkY42hgZZX2ZC51YVLCOdBZEx3ZJaxBoqlgp7oxVjPAfAKxaWKclFVYJbNXJlbMM8dWek2stI9p5dKXXLg3yM4nc5iF7k6vte7/ja9bu1Gg7Z1+PrZ77H4+9GxXxtad29epEqwlw/qwCsLnmTimMnEnUzAZHG9F6fdSXB4EHVb1mLvpoPYMmyERYcyYEQvBo/tR+VaBcdiRNeM4pP1b/DZ+Gmsnrchz/mu06Im9755O50HtvdazoKo3qAq9755e6H7ZfpPeC6iJ12dpGN6ImUC5/vYZMoOSP0Ywie5qgV7Q+YyrwJyvUdHBJzr4SOdcWBbV4LrgctqlIFMGANRPyIsLUp4PQNo+ZXswseq+BuFojCUglOBiT+V4FG5KSssXgQKh1cO5e9Zq1k2YwUms4aU8MObP1OraXWe+e4RGrb1Pvuj8zUdmHnkMzYs2sKeDfuRUtKwXT26XNsRs8Ulm67ruQHYFyKlZO+mgxz57xgms4nmXRvz/OzHiD0Zz3+r9+CwOajZuBqNOzYo3XL8zhMYdg3lunvOt6Kd/0D/CTQvKkc7j2Ms9bqIaJXAv++514aCk32Bq72ETJ2EiPAuIL5EsLRy1SrSPWXlCYT/9aUhkUJRIVEKTgUmNCokt9WBJ/wC/LBluLfiCCGo3byGT0qUt+zWzLBsiWfPZf6cn959Yt9pHu3+PB+tfZ26F6ZHG8BkMtFlcEe6DC64xklhys3mP7Yx+fHpHNx2JM/2yKrhhEWHEhYdyuXXdKDTwHal32tIC/Ii9KWwga4eTjJtCoS8Y3xtYXUzpw/QE8D+77neSKI0m6A6IWsZ0hmLMJVtVpUQJggaiUx51d0oEIEQOLTU5FIoKhoqBqcCc9XwroYUCIvVTP8RPc8FrxaCRHL9A8WLgcmhUvVIrhzSucC4FaPoTp2sDBufPzrNJzIBZKZnkRyfgtNZsBVi9bwNPNX/VQ7tyF+zJf50Ioe2H2XrnzuY/Ph0bq45hjULNvpErrhTCexYtYvdG/aRlZFV4JiD246wbmkkhYjuJU7I/A109y4nad+Bnvg0+tkrkSkf46veV4Wshkx+OTduS5iiwdKO0rtNyWwrVTkg8A7wK7gvmgsJWk2XkqNQKApEKTgVmO7DLieiSphbxUXTBP3u6cXtE24kslpEodlAmkmjUbv69L2zu8/kG/vB3URUdi9fTiPMwtCdOpv+2Mapg0aySgpGSsny2Wt5pNtzDA6+naGVRjAk8m4+f3QaZ47E5I5LT8ngzTs+Aik9Ko5SSuyZNl4a+i7bV+4qsmz7txzi+evf4paaYxjf/XkevPwZhlcbxZQnppOWlJY7bun05dzX/gkmPZmK1EH3iSHFCfrpAvdIKdFTPkTG3QCZ80A/CxRWY8dX6NmtE7blbhFBoyhRq9GFiKLVMvI5Mgls692Pce5DprxfOvIoFBUQpeBUYPz8/Xht4TMEBPsXainxD/anUYf6BIUG8MHKV6jfug5AbrXjHIWnfd/WvLV0AtYAq8/kS0/JpOUVTdALeBpXqhlJaHSwIQsUEvb+c6BIMui6znv3fsarN73PrnXn+h1lpGTy88e/MbrNY+ze4Nq+bOZKMtOzDLVNAFzjpOTrCe57VRXG1r928FDXZ1i/cHOebLP05AzmfLCQh694jpSEVHau3cM7IyYhdcnZ42beedjVxNJZYKNoL7/ShZXsz5gFaZOyX5RQzE1hOM4pjMK/DyL4wexXF7pOfdztWYSDuaFv5ywqGXOBgi1559Ah/QeknuZhnEJxaaJicCo4jdrX57PNbzP7nQX8NnVZvhYFGamZTBz1ObPemsc7fzzPpI1vsWvdXlb8tI7UhDQiqobT+7ZuRYpxccf2lbt4uv+rOOyOAr0adZrX5OjeExCTami+onbqnjNxIUu+/gsgX0C27tTJTM3i6QGvMePgJLYs24ZAIL1ww+i6ZPuKXRzfd4qajaoZPi4jNYMXb3gHh91ZoJKnO3WO7TnJJw9OxZZhyxPP9Pe8CBJizNz+6Bladzn3cMtMt+IffQ/YdoB9LZ5SyTHVAK0GEJdnj5QOZOrHht+LZ0yu9ShQI/OICH4QzC2R6V+fl1WlgbW3qx6QN1WL3aFF+2YeHyAzF2PMHZjpqhjt38fzUIXiEkMpOBcB1epVofOgDvwy+fd8+3IeimcOn+WJPi8z5d93ad6lCc27NCkxedKS0phw7ZvYs+zohVhoNv+xncr1KmEya4UWHzyfBm3rei2H0+Fk9rvuC6Hpuk5aYjpLp68gK8NeZEXq5P7TXik4y2auIi053e0zTHfq/DVrtSvx6YLz+O/qEP5dHUK1OllUqWXDlqlxeG8oc+MeRph/hSTPdV1E4J1IUYDFx7YO9Jj8273GjAh9DvyvRaZOchUJNGINKqDPk/DvifDvidSTXanqIhyhBaHH3+0DObNx7kMmPY8If9Pz2JLGQ2xUHqSxHwkKxaWGclFdJHzzwiy3GT1Oh87J/adZ/uPaEpdl6fQVpCdnFKrcgOuBHX8iwaNyo5k0WnVvRq0mNbyWY/vKXSScSfI4TiL5Y8ZyajSsWuSgaG/7Z62Zv8FQlWfpdB8PdOqIla2rQtj5TxDpyU7sCV9A0pO4bzQpwO+KAns+AedVSS4OJrD2QATeitCCXV2+PcbSaGBuhbA0L3SE0EIRphoILci1wdIan97GMue6Om+XNaYqGH5f5cjypFCUJ5SCcxFw+L9j7Nt00GM8i9AEC6csLXF5/vphlSE3jz3TQeurCi/mJzSByawx5t27iiRHcpzBX8HSlao+4N7e6AasSRfi52+hyWUNvDomLSm9yNaiwhh4ezx+jvdxKRKFzW2GoNGIiM8RwtVzzGKKdaVIZ/6BdBwH4YuGq848PaWEuTYEjXEzXrj+zPWRqZ8jHYcNrSICb8K3mV0mZG6Ty7JDBNyAoeBqLRr8jHUUv1jZk3yST/cu4c3/5jFl3x8cSfWF9VFxMaBcVBcB52cCuUPqsljZSEZJiU81/Mxp3aM5dZrX5NfPlyI0kd1DSuB0OImoEs6EWeNp0tE75SGHkMhgw2NDK4VQr2VtetzUleWz1xoLfsZlYbr6rh4EhXqXrlulTjS7N+w3VKixbotaHN19wu1YawCMev6sgZUdiIAbEMIP6dgPyW/RospyRHLOJRPZD8ziFPQT4D8I/Lrm3Ro8HkQAMvVTwJa9hiSnOzbokLkQiQ6p7yP9rkKEv41wU9lXmGogg8aeFxBdXJxQHiw4/v0hdSI4T+PuOoigMQhxad7GYzKTeWbr9/ybeAST0HLrdX954E+ujG7Ky62HE2wpJIhecUmgLDgXAbZMu+Gx1kDfZUkVRmS1CI/p3znMfucXho4fxIzDn3LH8zfS+/buDBjZixfmPM53Rz6j5ZXNiixHq27NCKvkucGkEII+t7nS45/4ehxXXN8JwGODTc2kUbVeZe559RavZet7Vw9Dyk1IRBB3vXyTx7GX9UwkMNhT1g2ACZn+I9K+Cxl3I9hWXdCYVIItp7aPp9tDzoEmXL+VhOv/gXcjwt7KZ5kTQiCC70dUXoMIfRECbnFVL86dR+IKRM5pGroKGX8bUncfYyKCH0IEPwr4nZOhyL/dtHKRKi6EHyJiWrb7Kdu6lUt29ljg3a56OZcgSbZ0Rq+fwo6kYwA4pY5D6jil67OzJmYP4zZOJdNp/N6ouPi4NFX/i4yda3YbGic0QddrLythaaDPHVfx79//GRprz7Lz7cuzeWr6Q9w+YZhP5TBbzAwdP5ivnvvOrUVJSsmGxZup3bwmHa9uw/OzH2PXur38Onkp+7ceIi0xnaTY5Dz9vDSTRvcbL+eBj0YSGuV9l+4OfVvTsF09Dm0/4jYO6aYnh3DlkM7cPmEYM175CU0TeWKbcnqR3fBAc+A4nq0uTrAfQGY9BDITUeB4Jy7lRsN14i48eRogEOGfgKkaZP2FlOkIrRoEXOPW4gK4upoH3uJKcc741r2sjoOQ/g0Ejyt8PiEg+D5XTFHmAqTjIGAGU01IecWtLPnREX5dPI6SzljImIt07AVMCL/24D8Yofmu8J4w14FKv0LGT8j077LbdFjA2h0ReBvC6lnOi5WZh1dxKiMBvZAvto5kV/IJFp7YzNDal7YL71JGSF8HAlQQnE4nW7dupW3btj5pTVBWOOwObqxyL6mJxmphTN35AbWbeh+w6w2Z6Vnc1ehB4k8Z6yVkMpv48dQXRVIUPOF0Onnrjo/564fVbltH5CgKQ8cPYsy7d+azPjgdTjYt3caZIzH4B1np0Lc1kVW9aIpYAPGnE/hfn5c5svN4HtlyMsuue6A/4z4ckSvLqp/X8+O7C9i1dm/uHG16tGD4E9dxWffNyJR38By3IcDSAez/GBPS2htsa0BmnNvmd7nLauJXcAsMo+ixg8CxD4/+TK0SInqlq4WBF0jHcWRsL++EEoGI6NXngpgvnFNKZOpHkPY5LrlzPidO17GhryICBnm3JhfP/ag0cOhO+v/1Osn2DLfjBFAnKJofu403PLe6DuUDT9fB6HVSFpwKTsKZJMPKDUClGiXffdg/0Mpbv09gVOtHDcXiOB1Oju89WSKp60kxydz01PU07dyIJdP+4uC/Rwocl+MCmjPxV2o2rs6gMX3z7DeZTXQa0M6nskVWjWDSxjf56/vVLPhsCcf3nMRkMdGuVyuue6A/ba7K29n6yiGduXJIZ2JPxpOakEZoVHCukiXtFoxX/LXg+up7qkvjsoKI6LXg+A+kDUy1Eebi10yS0gaOvZ4HAuixoJ8BU3XvFjHVAFM9V2d1Q0FhwuVaK0S5AZCpH0JaIQ05ZQYy6TEQFoR/P+9kVRjmTGaSR+UGXFf8cFoMdt2BRVOPuksRddUrOJ76SxV3/IUc33uShDNJBIcHUrdl7UIzoOq2qEVAsD8ZKZmG5hWFNL4sKht+28IPb/3M9hXnquJWqWssnfb7N+YycFTvQptx+hJrgJX+I3rRf4RxS0Ol6pFUqp5XURWWlkhzC3DspnA3lQCsYK4NdoM9tGSGy+3i52vXppfZatL77DYhBATdg0x+3vNgrToi7BWEtVvhIjhPZ1tuCh3h+m/yK2Dt47XFSaFQ+Bal4FRwIqqEEV0riphjcW7HCSGo3awG/kUMMl7x01q+e30uB7Yezt1WvUEVhj12LYPG9C1Q0WnRpQmbl233GCBrDfCjTvOaXsvkdDrZsmwHpw6ewc/fQvs+rYmuGcXs935hyhPT8ylzZw4byzY7ezSWXev20aKry6KUlZHFX9+vZuEXf3D60BmsgVa6DO7I4Pv7lbi7zxtE2FvI+OEgs8iv5IjsMW+AftqVqeQRHWHy/roYQQh/pKlWdnNLD9YVEQqmynk2SSnBth6ZtdhVFE+rhAi4FmHJa/UiYLirp1PmwsLnD7jR5Vry1Bk+4yf3+3PQz0LWCvDvaWy8wiuq+IcRagkw7KJS1ptLF3XlKziapnHduAFMfWam29RmieT6B4vWKXzma3OYNuGHfJlRpw6e5aOxX7B30wEenXJfvgfEdQ8M4J/f/3Uvf3aadWCId7VXFn/9F9MmfE/cyQRy8kOFJmjRtSk7VrmsNkaylApj24qdtOjahNOHz/Jk35c5eeBMnjiZBZ8tYd4nvzHuwxFc/8CAIq/jU8yN+G/XO/w140tS4uIIiXDS47pEWnRKQ5hrI0KecVUDdsZCyrvG5gwYUmLiisDbkSmeqgabIPAmxHmZTdJxBJlwPzj3cy7VXCDTv0ZaOiMiPsoNdBZCg7B3wdISmTbN5erKnbqhK6srYLAheaV9F8ZcXaZsS5pScEoCs2bihlqdmX5weaFBxuC6UsPrXLqB2AqVJn5RcN0D/WnYtl6h7idNE7S6shn97unh9dzbVuxk2oQfgPztAnLi0xdP/ZOl05fnO7bTwHZceUPnQn8ZayZBZLVw7njhRq9k+vGd+bw38lOXcgO5zxypy1zlprh88/wstv69gyf7vszp7DpD579/3aGDhEkPfcXKuR66PpcCsSfiGNfpKR7tNYVF0wXLf4lk0YxoHhvSkAcGXU1s5veIbIuCMFWCwNvxWO044GaEqUrJCR0wHEz1KbxppsllmQkckbtFOs8i428BZ06tGicud1e2xcr+DzL+LuR5QdFCmBBBIxHRfyMiZyMivkJELUBUWmhYuXHhze3SWJkERdG4re6VVA0Ix1RQqxFAQ9A0tDqDanQoZckU5Qml4FwE+AdaeWfZ81x5QydXrRFNYLKYEJpAM2n0vr07ry16Boufxeu5f/5okcf2BUITzJn4a77KvJqm8ez3j3DtuH6YzC55zBZTriJWp3VNJq58hYgq4YblOb73JF88NcPr9+EtUtd57eaJnDxwxm11YyEE37wwK89713WdTUv/ZcoT05n00FfM/WAhSbHJJSZrSkIq47s/z8F/DwOuoG2pS5wOl0yHtsfwWI8XSI4/V9lZhDwJ/tcBIOX51zdb2fC/BhH6bInJDCC0IETkDLDkBG+bcd2Ssg3L5oaIyO8RpqjcY2TaF6AnUHickRMceyDj5/zrCRPCrw3CeiXC0tSzS+rC4/3aGhzpBEsbr+ZWeEeYXyBfdB5DizCXC9UkNMxCy1V4ukQ3ZtJlI/E3eX/PU1w8KBdVBUDXdTb9/i8LPlvCvk0HEULQ4sqmXHt/P1p1a4YQgqCwICbMeoyzR2NYOWc9KfGphEWH0v3GLkRVK1o6s5SStb/847F9gdQlB7cdIe5kPFHVI/M8OMwWMw98NJLbJwzj71lriDsRT0BIAJ2vaU+iI47omlFuZs7Pr5//jqZpxXI/GUHXJYlnk3PdX4UhpeTIf8fYv+UQjdrXZ88/B3jtlomcOnDGpWQCTqfOF09+y7BHB3PPa7f4PHh5/ieLOXskptDeX06HztkjMcz/ZDF3PO+ylglhhrC30P2Hk3ByEhHBRxHooEW4mllmrUTG9EH693P1kzLX9anMOQhTFCLqO6R9GzLjF9DjQQtF+A8ES8c8nyUpMyHjR4xUWJZp3yICb/WtsAFDIOU93Gefaa76O36X+3ZtRT6i/UP58vL72JV0gj9P7yDZkUGkXxD9qrWhbnBlzxMoLnqUglPOycrI4pWbJrL+1025tVoAVs1Zx/JZa+h751U89uX9mMyuX96Va0czdLz3dTgKwmF34LQbL9c/otkjZKRmEhweRJ/bu3PdA/2p2diV2hseHZYnVsVVx8B9YHRB/LN0W4krN3kwWCXq7NFYTGYTj/V4AXuWq3rq+efOoTv54e15pCWn89CkUQXOEXM8jp1r9uB0OKnVtAaN2tf3uK6u6yz4dLHbxqaucZJfPlvCbc8NzVWwhBBgaceRhAeIqBEKSfe40sEBVwvzJEj/Fpk+HUJfRgQON3AmioawtEYU0EX8fKTjcN56PIWPBOcBpHT6NJNJaJEQ8jTSbfFAHYLyx6MpSo5mYTVoFlZ+gv0V5Qel4JRz3h/1ORsWbQbyBs3mVL/949vlhFUKKXJDSndY/CwEhwcZrrOTkepKCU9NTGPB50v4dfLvPDfr0dzWBwWRFJvMH9NXsHPdXnSnTv3WdRh4b28q1y44pduR5YPS6x6sMkXBP8jKZ+OnYc+yF66ASfjls9+5ZnRfGrSpm7v57NEYPn1kGmsWbMwT59OgbV1Gv30H7fsU/uBPiU811DEdXDWTkuNSCI8Oy7NdE+mQ9DDoceQ/MS4lTSZPAFNVhLW7obVKhMw/vRh8YXsD3yCC7kDqMe7TxZMnoJvqolmLVwhRoVAUDxWDU445sf8Uf363yn12lIR5H/9mvHO2l/Qf0atItXN0h47D4eSV4e9zaLuruN7ZY7H8t2YPB/49jNOps/bHTdxW+36+fHoma+ZtYO2Cf/j+jZ+5vd44vnxqBrqeX1Go3bxmsWv5AD599gUE+xNeOYytf+3waF0ymTV++ez33NenD59l7GVPse7Xf/Jd54PbjvBU/1fdBjEb7fmVw/nuMek8AelfUD/yPVdqs1vXj0CmfuLVWj4n8zfjY83NXBlUPkZKG6R942GUExJGIqWR3mAKhaKkUBaccszSb5bncUsVhtOp8+f3q0okXfm6B/rz6+TfycqwGe6wnYt0/eeLJ2dgz3Kw9a8dubuCwgJJS0rPd0jOe5319nyEpjHy9bxxFNeM7svaBQbbDBSA0AT3vX8Xnz0yrchznI9m0hg4qg9Hdh43NN7p0FkzfwO6U8ca4Me2lbtIiU8t8BpLXSKE4K07P6J97ykEheWvsBsSEUy1+pU5deise6uUgKp1KxMSGYzU05DJz2YrDIJgq7GaONi3Ih2HSywexx1Syuy0cIOUUCVhmT4LMOImy0Bm/IoIHFoicigUCs8oC0455sxRY4XpTCaNs0eMjfWWqnUr89rCZ/APtBYpONbp0Nm4eCvbVuzMs70g5eZCfnxnPrEn4/Ns69ivDS2vbFpkK44QgrrNa/kkRkLTBI3a1+eul2/y6riEM0n8/s3fLPhsCQf/PexWgZVSkpVhY+n0FQXuF0Jw/QMDPb4f17gBgB2ZcC9kLgYkAh0hvDBoOU8hpQ2pJyBlaXdq9uKaWUuoBk36d8bHGi0MWABSSqT9P2TGr8jMxUjn2SLPpVBcqigFpxxjDbAaehBLKfEP8i8xOVp3b87Xez7i9gnDqFInGmugH+GVQ72ao0iBwVKy5Ku/8mwymUy8suApWnVr5np9fgq7keeflLx224f5Utq9JTA0gKHjB/HuXy8SEORPw3b1vDre6XB6dU42LS28YOI1Y/rQuEP9wusgmTQatavHoPv6QsZ8sG/C61YJ2cjUj5FnWiPPdkaeaYue+CTSvtPzgcXEFRDdCmO3LA3s/7ncSb5GGot3AkD3Yuz5S2StRMZdi4wbgkx6FJn4EDKmO3rCQ652EQqFwhDKRVWO6XxNexZOWepxnNOh02mgbxtBXkhUtQjueOHG3KJ8acnpXB/u+8DmPAjB4Z3H8m0ODg/inWUvsG3FTn77chkn9p/GGuBHWKUQVvy0zu2Uui5JjilaTZqX5v0Ps8WMNdCPpp0aYg041/aidtMatOrWjP/W7PF9lpeErIzCH9bWACtvLX2e90d9xsqf1iPEue7oUsIVQzrx2Bf3YQ2wosd+S7GirO2bOacc2SFzATJzAYS/j/D3zkUqpQT7FmTGfFcMkAhC+PcFa29XGvsFiMA7kElbDMysQ/LTyNR3IWKyx+wsrxDBQKyxsaZK3s+f+Rsy5bECduiQtRQZtwmi5iBMVb2fW6G4xFAKTjmm08B2RNeKIu5kQqEPTc2kUb91HZpc1rBUZQsKDaRtz5ZsW7GzRNO2TYUUGRRC0OaqFnk6br8zYhIms5abYVYY57dc8IZG7eu7rdtz3/t38Ui3CSClx7RtbzCZNWo0dP9ACwoNZMKsxzhzJIYVs9eSFJtMWCVXHaQqdVwZaVI6slsIFIcLz212llXioxDVEGFpZGgWqccjE8ZmK0ym7HlMLmVJqwoRnyMszfMe5N8fMuaCbU0BchQkagIy/i6I+tl3cUMBQyH1PWNjg0Z6NbVJpELK09mvCvr8OEGPRyY9j4ic4tXcCsWliHJRlWNMJhMvzHkCP39Lge4Hk1kjKCyQZ79/pEzqbgx7dFCJKje6rtPyimaGxzsdTox4nkwmDbOfF7q9gEYd3Cs3AI07NOCdP14gMrvTt8li8sl1cTp0Btzb29DYKnWiufHxa7n3zdu58fFrc5UbFz7Ojb8Amf6tsXEy06V42HPcbs68/9djkPF3IB1H8xwnhBkR8RkE3IDr1uXp3OogM5Gp7jqAe4cIvBlDvwu1aISfdyn1kUHLARvur5MTbMuRjvyWTYVCkRel4JRzmnRswMfr3qDzNe3zPCxNZo1uwy7n03/eyi2mV9p0vqYDtz3ryhLRLkhXvvB1UfAPtNL7tisNj6/borah2BqH3cnlg7zoUSMxXDyxRdcmzDg0iZfnP8mgUX0xWYpXaE4zaVw+qAONOzQo1jwAQljAVA+vgnVFmOcxADghc76xoRnzXe0U3LVbkOnI1E/ziyOsaGGvI6JXgDBSodsJmb8g9VRjsnlAaGEQ/jnub53+EDXba+U21LoVY0qoBNtar+ZWKC5FlIuqAlC3RS1envckMcfjOLzjKAhBw3b1iKhs9OFTctz9ys3Ub1OHH99ZwJ6N59J4m17emDrNa7J46p9FDugdP3kMAcHGu4z3u7sH0yZ8j9ODeygoLJCnZzzE0OgRZKYZq1VSt0Utw3KYTCa6DO5IiyuaMP/TxYaPyzNHtqutfZ/WPPP9I0WaoyBE4B0eKvECaGC9GhF0F1IEQtx1xiaXGUhpdylS7oalz8RzHFCOYvIsQgspQMRokInG5MIOzhOgNTE43j2af3f0yJ8g5dVsF1sOJlf2VtibaJp3QfgAmrAZVD0FqBo7FZKDqWfYm3wKgaB5WE1qBXnXqkbhHUrB8REJZ5NYPPVP/vphFSnxqURUDefqO3vQ987uBdYvKQrRNaO87t1UGnQf1oXuw7pw9lgsyXEphFUKJbpmFGlJaaz75R+SYlO8dmVZrGZ63drNq2MiqoRz81NDmPnqHLfj7n3zdvz8/bxKNS9KIUWL1btGf5VrVyI4PAiHw0m9lrUZfN/VtL6quW/dj4FDXf2cHPso2IKS3cE79AVXk0tnjBeOLX+Pyg0Ajv0Ys1TYwXkUtBaF7NcwnA3mw5YNAJpfS4j6AemMA/0k4Afm+sbefyFkOaoRZD2A8NhrS4LZuMKtKHv+SzzGxN0L2ZaY1+16WVQDHm16DQ1CVNB4SaAUHB+w+Y9tPH/929gyzxXDiz0Zz/7Nh5j+0o+8ueQ5n7gYyjuVa1Wicq1zmSNBYUG8tfR5/tfnZZJikw0H9mqaoNPA9kWS4Y4XbuTo7hOsLCCbSjNp3PfeXQwa0xeAkMhg0pONFG2D0KgCrAgFIKXk6K7jxJ6IJzA0kMYd6rNvyyGP711ogtcWPUPd5iX74BIiACK/QSY+Ara1SEyucthCuB6s5saI8Em5HbyFKRpp6QD2LbhXJkwQMNigFN54xgsPMpd+ncC2Ho/NN7UoMNXxYk3jCFMUmHzzoyMuvRdRQcs9D9Siwc+461ZRtmyOP8SDG7/CKfN/fzbFHWTEus/5ovNoGoeWTajBxYyKwSkmh3Yc5bnBb2C7sNKvdD3s0pLSebLvK8Se8L6x5MVAvZa1mbpzIqPevJ2q9Ssbai2g65LtK3fx53crvVrLbrPz8rD3WPnTugKtHmHRobTr3Sr3dZ/bunu04gghqN6wKvVbe35Arpy7nvvbP8G9LR/lqX6v8lCXZzi+75Qhxe72CcNKXLnJQWgRaJHfIKLmQcBdxGdcAQG3IiK/Q0TNQ5hr5h0fdC+eLSUSEXiHMQH8OuDKnPIkaAiYC2846lrPk7VDg4BbimVZKS3SbI2Qlq54ui2L4PEFptEryh8O3ckzW7/HKXX0AqyWOpIsp51n//2h2LW5FPlR35JiMuvtedn1Rgr+cOpOnfSUDOZ/spiRb9xWytKVD0IjQ+h711Us+eZvw4k8ybEpvHH7R6QlpTPg3t6smrueXycv5fjek1isFi7r15bBY/tRr2Xt3GMmPfw1axZsBCjweiScTuS+9k/wxFdj+ef3f1k9b4NH15mUkuGPX+vWTZSVkcXE0ZNZNnNlvvhdjxYiAV0GdeS250q/pL+wNIfgJhzdv5XIOm0RpoKVDuHfG4IfRqZ+yLmU7hxMgESEvYWwNDW2buDtSI9BsiYIvBkhrIUPsfYC/8GQ+SsFf7A0MDfJVtBcuGrvbEZm/g4yBbTKiIDrEGbvCjWWDAJCP4KUB8C2jrzn2gToiODHEYHDyk5EhVesOLuLeJv7AHcdyZG0WDbHH6JDVOEKvcJ7lIJTDDJSM1g+a43Huiu6U2fhlKWMeP3WMknnLg+8evNEju0+4fWvlE8emsqCT5dw+L9jefpyLfryD375/Head2lCw3Z1iaoRyW9fLvOoQDntTt6842M0k0B3Fj5Y0wS6Lrl2bL9CU7SllPz0/q9Mf/FHMtMyszcWvrafvwVb5rn2BoGhAVw3rj93vjgcUyHKRXlBBI8DSytk2lfZdWjAFYzcFxE0EuHXxvhk1t5g7QdZv1PwCTOBqRYiaIx7mYSAsLeRppqQPg1kBufickzgP8gVS6QFAiAdR5GJD2TXAjp3vmXap0hrH0TY2wgt2Pj7KAm0IETENJf7MP0HV6yUsIDfFYjAWxHm2h6nUJQf1sfuwyS0At1T52MSGhvi9isFx8coBacYxJ9OxGH3ZCJ3kZKQhi3Tlqf6bWHEHI8jLSmd8MqhhEeXfaZUcdm/5RD//vVfkY7VnZLD/x3L/ve5m0SOUrlz7R52b9jrVlkpbF53NO7YgGr1q7L2l3/45fPfsfiZuWxAO65/YABte7YEYNqEH/ju9bmG1wytFMKDn4wkOS6N0KhgOvRtbejzUF4Q1u4Ia3dXyrVMBS3MFdPj7TxCg/D3kSnvQvpMwE6OhQIkWK9ChL2OMJCJJIQJETIeGTQasv4CPcbl2rL2QJxXSVg6zyDjbwE9p7fZBd/brD+RCSMh8luE8PP6PfkSITSwXoGwXlGmciiKj0039nwQCGy6o4SlufRQCk4xsAYafzgJTbgtLiel5K8fVvPTewvYt/lQ9kHQsW8bbn5qCG16FJZJUv756/tVmMwmnA5jX3Zv8Va58cTQR6/hz5mr2PPPgdz4GVumnXW//MPqnzcw/Inr6Htnd6+UG4DY4/FUq1eFrteWTMBraeGychTP0iGEBRH6NDJ4LGQuyW7VEALWXogiZAgJLQgCCq9VJNMmZys3hX0GdVcgdeZCCBji9foKRUHUDIw0ZLV2Sic1AiNLQaJLC6XgFIOoahHUaV6To7vcu140k0b73q0KdUNIKfn0ka+Z9/FveYNwJWxetp1/lv7L+Mn3MdBgNdvyRmJsMiVdRddnCJj30WJXN+cLgoNzrEY/vjOfPRv2GWoLcSEZBuvuXCoILQwCh5foGrptG6T/gJGAZJk2E6EUHIWPGFSjPVP2L/M4zqKZ6VfNCzevwhAqi6oYCCG44eFrPGroulPn+gcLb0T453ermPfxbwD5Hqq6UwcJH4yZzP6th4ovdBnhaytLiSGNdfresXqP18oNQKUa6ldaaSGdMehxt0D8MMCI+V8HR8l3RldcOlQJCGdorU4eCzjeWa87IRbv3b0K9ygFp5j0G9GT7sMux13s8JCHBhZa10VKyex353tMn9ZMgvmfFK0qblmyZ+N+lv+45qJLgfTW3aaZNNr2bJmnTpDCt0jHcWTqFPTkN9GTXkXG9Ab7prIWS3GJ82izQQys3g5wBRPnkPPvm+tcwb0Ne5WJbBc7FdpFtXTpUh544IE82/r168dHH31UajKYTCae+f4RZr01n7kf/EpS7LmKt9G1orj5ySEMvv/qQrOnzh6N5cC/Rzyu43ToLP9xDY99eb/PZC9pbJk2nhv8Zp7MoYuJnEwrI+hOnVufvaGEJbo0kXoqMulZyFqMK09fw5jF5kI0sFTcWDdF+cSsmXih9Y3cWKcLc46uZ2fScQSCNhF1GFq7Mw1VFeMSo0IrOPv376dnz5688sq53jpWa+lnpZhMJm595gaGP3Et/63Z42rVUCWcZpc3QtPcG8lSE9MMr5ORmomUssKkmq/4aR2JZ5O8Pq4osS2G8NT+yEuMKjc5HN5xjHa9WnkeqDCMlDZkwgiwb8N1cSWG2zfkQzderFBRIYnLSmFD3H4yHDaqBoTTKaohZq10SjQ0D6tJ81Y1PQ9U+IwKreAcOHCAxo0bEx0dXdaiAGC2mGlzlXe/AMO9aJgZEhlcYZQbgJVz1iE0YbhFA0CtpjVo26MFp4/EsHnpv8VSdILCA0lLTAdc53nQmD78t2YvW//ckc9lppk0pJRcdWMXls9e61HmwNBAWl7ZhI2Ltxp+fzNe/YlB9/XF4lf+q+pWGDLmgH2rDybSwO8y8C88Vk5RcUmypfPerl9Yenp7npo0kX7B3NuwF0Nrda5Q91aFMSq8gtO1a9eyFqNYRFWLoG3PlmxbsdNtYKtm0uh3d89SlKz4pCSkeqXcAJzYd4qnvn0Qp0Nn429birW+7tCZvv8TwiuH4h/kjxACp8PJ3A8X8fNHC4k5lt0+Q0D73q249dmh1GxSnTUL/sGeaS80bkhoguvG9eO254by9t2TWDHbU1VeF8mxKWz8bStdr7usWO9LcQ6Z9i3FN80J8B+ICH21QrR0UHhHsj2De9d/zvH0+HwF9+Jtqby9cwGxWSnc16hvGUmoKCkqbJCxlJJDhw6xatUq+vXrR58+fXj33Xex2WxlLZrX3PTk9W6VGyEEZouZa8f2K0Wpik+lGpFedewGEALmfriQZp0bMebdO13bDPSvKoisDBtzP1xIQHBA7q8zk9nEjY8NZsahT5my7T0+Xvc63x+bzBuLn6NVt2ZEVA7jhZ8ex2TW0Mz5ZRdC0L53K+544UasAVYmzHqUhu2MlfkXmuDMkZgivRdFfqS0gdNoZ/JC0KIQlZahhb+fW/FYcXExed9SjqXFua0m/NWBv9iTfLIUpVKUBhXWgnPy5EkyMjLw8/Pjgw8+4Pjx47z66qtkZmby3HPPGZ7H6SyZ4nPe0K53S8Z+eA+fPvI1JlPe+BPNpGG2mHhh7mNUrlOpXMhbEFJKMtOyMJk1/PxdlWB73Xolf32/2qt5nA6dv2etYfyUMQx5eCBV61dm1lvz2L1+f+6Y4IggUhM8xy7pTp3FX//FiNdvyZXpfGo3q3Fu3fPOa4erWzNx1av88ObPrJm/MdcKFV0ziuse7M/1Dw5AM2m5x4RXCUMIV1Nud0hd4hdgKVfXMEeW8iSTYaTdY/qt28MBAh9CimpQxu+/Ql+HckyaI4tfjm8qsNHl+ZiExo+H1/Bk02sBdR3KGk/fB6PXR8gKnL+bmJhIWFhY7q/zJUuW8MQTT7BlyxaPvX2cTidbt24tBSmNc+y/U6yZ9Q/bl+3GYXPiH2yl47Wt6XJje6JqRpS1eAWSnpzJ+jlbWDt7E8kxrqZy1RpVpuvNHWjbvwWf3DmNmMNxXtfBmbD0IYLCz/2ijjueSGp8Gv7BVsKrh/FCt/cMz/X43DFUqlW085eWmE7SmRQsVjNRtSPRCrAmrf1xE/PfXerRkCA0wVML7iesiucWBApjNK/yMH6ms27LNBRGpr06u8++gaRsWzMoSo69thgmJq0wNDZcC+CNqIElLJHCl7Rt29bts77CWnAAwsPD87xu0KABWVlZJCUlERlprKBaq1aFVxgubdq2bcvg2wYgpUR36pjM5UOuwjh7NJYnbnyJs0dj88TanNp/ljmv/Ma8N39HL0KQsKYJLutyGX7W8+Ih2p77p7c1aFq2bEHVepW9lsMojeo3ZsmnK8hKtxUat6OZNC4f1IGr+nUvMTmKgtPpZPv27eXqe+AV6fdA2tt466aSIhxr1Tm0qR5eImJ5S4W/DuWUzNh9sMWYgoNJo1WrVuo6lAM8fR9y9nuiwio4K1eu5PHHH+fvv/8mIMBVAXLXrl2Eh4cbVm7AleJdLj/I5fzK6LrOC9e/TezxuPyBxNkvnec1IjWaTWUya1w+uCMBgf6FjzGZaNyxAfs3H/SYqh1ZLZyq9SqX6DUOjQjhuVmP8sL1byN1PZ9MmkkjulYUj3w+unx+1ijH3wMPyKCbkVlzwXEQz60YsoORzc3RImeUfefwAqio16G8UjfE2A8bDUHd4Ojcc6+uQ/mguNehwgYZt2vXDqvVynPPPcfBgwdZvnw5b7/9Nvfee29Zi3ZJsGXZdg5tP2o4jdtoNpXToTP0kcKbJuZw/YMDPCo3QhNce3//UrlRdR7Ynvf+folW3Zvn2W6xWuh3T08+Wf8GEVXCS1yOSw2hBSEivwVLTqVwU/Zf9i8EEQaiMmhVwO9KRPhniKg55VK5UfieGoGRdIish+YhWktHMrRW51KSSlFalHM7QeEEBwczdepUXn/9dYYOHUpQUBA333yzUnBKiT+/X1Wkgnw5lhzNpOXJHMt5ff/Eu2nVrZnHeXrdciV/freKTUv/LVB50kwa9VrW4oZHSs+n3qJrE97980VO7D/F8b2nMFtMNLmsIcHhQaUmw6WI0CIRUTOR9h3IjF9AjwMtHOE/ACztVX2TS5z7Gl3NfRu+QEhZoCPTJDTqB1emV9UWRUrIO5IWy9yj69kYfwCnrtMgpAo31OpEh8j66rNXxlRYBQegUaNGfP3112UtxiVJ0tnkIhXhk7pECGjetQk7Vu5ybcyuQ3Pj49fSvk9rQ/OYzCZemvc/Phv/Nb99+Se6U0cza7nNSa+8oTPjJ48hILj0G9jVaFiNGg2rlfq6lzrC0hJhaVnWYih8iJSS/5KOs/LsLjKcNir7h9G/Whsq+RsP1G8TUYe3293GM1t/wKbbc3UYk9BwSp1GIdX4oMNdWDSz19lTXx34i8/3Lc2dC+Boeix/nN5O10qNeaPtrQSYVRB7WVGhFRxF2RESFZzPCmMUKWH85NEcOXmYujXrER4dRkiE9y4DP6uFhz8dzd0v38zKOetJOJNISEQwXa+/TDW1VCgqOMfT43hm6/fsTj6JSWgIBLrU+WTPYq6rdRmPNxuERTP2COtWuRkLez7FwhObWXF2F+mOLKoHRnBtjY50rtQQTXgfrfHT0XV8vm8pQJ4aOzn/Xhe7jwnbZvFue+/afzh0J3+f3cmmuIPYpZM6QZUYWL0dUdYQr2UsSaSUZOkOzEIrtXYX3qIUHEWRuOrGrvzxrcHshAIIDA0gMC2A6g2qFjtGJqxSKIPGlE4VUl3X2frnDrat2InToVOneU26De2MNaD0e6ApFBcrZzISGbnuc5LtGQD5ivTNO7aRhKxU3mx3q2HlJNQSwC11r+CWulcUWz677mDyvj/cjtGRrDi7i11JJ2gWVsPt2Bw2xO5nwrZZJNjScruN61Ly6d7fub1uN+5v3LdIypgvSbSlMefYeuYcXU9slqu5dOvwOtxUpwu9q7Ysc/nORyk4iiJx2YC2VG9QhdOHY7yy4miaoMllDYmoEs6RUyUoYAmwY/Vu3r7rE04dPIPJbEIIcNidfPzAl9z7xm0Mvr9iVZpWKMork/f/QbI9o9DqwxLJ32d3sjZ2H1dENyll6WBVzB6S7Okex5mExoLj/xhScDbHH+LhTdPQs0tN5LUKSb45tJws3cGjza4puuDF5FhaHPdt+IK4rJQ8xRN3JB5lW+IR/jrTipdbDy83Fp3yo2opKhQmk4lXf32a0KgQr9ox6Lpk6HjPWVLljZ1r9/BE75c4c/gs4KrF48hOg09PzuCjcV/y0/u/lKWICsVFQbI9gyUn/3XbWgHAhGD2EWN94HzNifR4j5lZ4FJSjqXHehwnpeTdnQuQUlJwKLSLH46s5khq2bR7cehOHvrna+JtqfkqQ+e8XnZ6O1/sX1YW4hWIUnAURaZWkxp8tvltbnj4GgJD8wbzXpg9kNNP6oZHrqH7jV1KTUZfIKXk/dGT0R1Ot6npXz41g/jTCaUomUJR8pxIj+ej3b8x8K836P77Cwz6+y0+2/s7ZzKTSmS9AymnsUvPwb5OJDuSjpWIDJ7w08xuFZEcBGDVPDdw3Zl0nP2pZwy1lJh7bINRMX3KirO7OJGRv2Hp+UjghyNryHCUj56QSsFRFItK1SMZ8+6d/HR2KjMPf8r3xyfzwtzHqdk4bxZRzUbVeOrbh7jvvbsqXOrkrnV7OfLfMY91d3Rd8tvUP0tJKoWi5Fl+ZifDV07kuyOriM1KIVO3czYziW8OLmfYivdZH7vPJ+ukO7I4kHKGQ6lnyXQafziWVaehzlENDWeUd67UyOOY3QYbfTqlzs6k4wZX9i2/ndxqyGqV4bSxJnZPKUjkGRWDo/AJFj8LlWtHs2P1bj66/wsSziShmQS6LtE0wbE9J1mzYANXDOmEf2DFCsjdtW4fmiY8KjhSl+xat7eUpFIoSpa9ySd5aut3Bf5i15HYdAePb/6WGVc8RJ2gomUtnspIYNrB5Sw6sZks3eHVsQJBs7CaRVrXE8n2DJaf3MXZzCSCzP50r9yMWkFRAGQ4bHx5wNgPGavJwsAa7TyO8+YnX1n9QIy9IO6mMAQQn5Va8gIZQCk4Cp+xf+shnuz7Mg6b60aV02Az5/+r5qwnPSWT1359usxkLAq6LnF1c/T85fakBCkUFYVvD610u18icUidH4+s4Ynm1+Zut+sO1sbu40xGIoFmK5dXalRgivOBlDOM2TCFNEeWx3ibwtavFhDu9XHucOhOfkr5lxXL5+GQTkxCQ5eSD/csomulxjzd4nombPuRfxMOu51H4FLAXm59E8HmwtvO5NAivJYh+TQhaGlwrK8JtwQiEB5dcxIItQS6HVNaKAVH4TOmPjUTh73wOBVdl/yzeCublm6jfZ9WpSxd0WnQpo6hTDHNpNGgdZ1SkEihKFkynTb+OL3do+LhlDq/HN/Eo80GoSH4/shqvjrwF8n2jJzOX5iERp+qrXi82WDC/AJzj3ts8/QiKzc5zD/+D2cykqgVFEW/am1oFV67yBYOXeq8sH02f2buz93mOE+2dbH7uGnVB6QbcKFF+gXzUpvhdIpqaGjtJqHVaRpanb3Jp9xaSaSU3FCrk6E5fU3vaq1YbcD15KeZ6RrduBQk8oyKwVH4hNOHz/LP0n89KgKaSWPBp4tLSSrf0LZXS6rUicbTfVPXdQaO7lM6QikUJUiCLc2w4pGp20l3ZPHRnt/4YPei3No1OY9pp9T54/R2Rq2fTEr2vjUxeziZkVAs5SaHdXH7mHtsA/eun8x1y9/hy/3L2BR30Ov4nFUxe/jz7H+F7teRhpSbnLHtI+p5tf7/ml+HSdPcxrncVb8HNQOjvJrXV/Sp2opIvyC38mkIrqvZkRBL6VeQLwil4Ch8wpH/jhnq46I7dQ5sOVzi8vgSTdN44OORgHD763DY+MFUq1el9ARTKEqIQJPxODmBYF/yaWYeXlXoGKfUOZoeyxf7XbErf57+D5MPY0lyFKXTmYlM2b+M+zd+ydCV77EmxrPFwaE7yXTa+PHIGjQfyZRgS/M6y6xleC0+vexeKvuHAbgqBAuXOuGnmbmvUV/ub1Q6BU0Lwt9kYWKHuwkw++UWIcxBZP+1jajLg00GlIl8BaFcVAqfIDTjunJOynhF4vJBHXhu1njeu/cz0pMzztX+ka74nBsfG8yI128tWyEVCh8R5hdIq/Ba/Jd43GNgaaOQqsw5ti5PP6aC0KVk/vGN3NewD7uTT+As4QyoE+nxjN80nbfa3UaPKs3z7JPSVSjwxyNr2Bx/qCg9Nj1SUKxKoi2NuKxUgi3+VPEPIyYzmfnHN7I5/hAOqdMwpArvtLuNOFsqm+IPYded1A6Kon+1tgRbPMfylDTNwmowo+uDzDi0kl9PbCZLtwMul9wtda/g5rpX4GewfUZpUH4kUVRoGrWv52p26aEBp8ms0aq7527h5ZHuw7rQaWB7/v5hNdtW7kR36NRuVpN+9/QkqlpEWYunUPiUW+peyTNbv/c4bm/KKQ6knjHkbspw2pi4eyEHUs/4QkS3yOz/vrx9NpdXegZ/k6sejS51Xt/xMwtObEJDlIhyE2S2Utk/jFRHJr+d2MLKs7vZn3o6t7UBQGVrGDFZyQjOFcrbnniUn46uZ0D1tjzX8gbDvbZKkxqBkXSJbsy2xCPsSzkNQJwtlekHV5DutDGiQc9yo+QYlmL58uX8+uuvpKSk0LVrV2666Sas1nNmzKSkJB588EGmT59eIoIqyjcRVcLpNvRyVs5Z51bJcTp0rh3bvxQl8y3+gVb6j+hF/xG9yloUhaJE6V2lJcNrd+HHo56rBXsTSzP/xD/FEctrUh1ZvLvzF55qcR1mzcR3h1ez4MQmAENpz96iIRhSsxOLTmzhvV2/FJr+fjbL5cI6X4Kc87j45L9oQuOFVsN8Ll9x+enoOt7euQBxQSxOsiODrw/8zdb4w3x02T3lQskx5FeYPXs2Dz30EAEBAVSuXJmPPvqIIUOGcOzYuSqSdrudjRs3lpigivLPqDdvJyQ8yG3rhmtG96H55eUjwl6hUBSOEILHmg3imRbXGyrwZnhen81knAUn/uGJLTPIcGTx7aGiNwk2QpQ1mGj/UF7/72eva/vkIJEsPLGZQ6lnfSxd8TiUepZ3di4ACnbBSSRbEg4z7cDfpSxZwRhScL766iveeOMNXn75ZV5++WWWLFlCeHg4t9xyCwcOHChpGRUVhCp1ovlo7es06dgAcGVMmS0mEODnb+G2Z4fy0KejylhKhUJhFCEEVfzDfWLp0BCEmP1LxCVkhDUxe3lh22wSbGkltkaI2Z+JHe7yST8mk9CYd6x8GQ1+OrrOY7dwiWT20XXYi6jc+RJDNqTTp0/TsmXL3NdRUVF8/fXXjB49mrvuuosZM2YQHBxcYkIqKg7VG1Tlo7Wvs3/LIdYv2owtw0aVOtFcNbwLQWFBZS1eiSKlZMeq3fzx7XLiTycSFBbIFUM60/XajpjM5aO7rkLhLb7oOSUQaEIQbQ0lxZFp+LjW4bXpU7UVZzKS+Ovsf8TbUsl02oskg0SyKmZ3kY41Soojk2e2/kCqF++xMJxS50ha6TXWTHNksfDEZuYcXc+JjHjMwkTnSg0ZXrsLHaLqA67WHUbckUn2dHYlnaB1RNnWBTOk4DRp0oS5c+fyyCOP5G6zWq189tlnjBgxgjvuuINXX321pGRUVEAatqtHw3be1YGoyCScSeT5695i94b9mMwaToeOZtJYNnMl0bWiePWXp6mvigAqKiA5wbnFQQCvtL6Jf+IPciQ91tBD8tPLRtIxqkHu64ebDSTdkcW96ydzMPUMehGysBw+qLvjiWPpsRire+4eAZi1kv9h5NCd7Mluy3G+MmvDwYqzu/jrzH/cXOcKxjcdSKZuXLksqiLqSwy5qJ566im+++47rrnmGrZt25a7PTAwkC+//JIGDRpw//33l5iQiksbp9PJvs0H+ffv/zi+11hTutIkIy2TJ3q/xN5NBwFXIDWQW/Qw7mQCj/V4gVOHSj5zRKHwNZ2iGuare1IUvjm0nGtqtPeo3AigQXAVOkTWz7cv0Gzl806j6BbdLHesN2iIEg9+lRRfucmhoHPgK2KzUvhkz2Ku/vM17ln3WYGWupxr9cOR1fxwZA1V/cMNn/MqPm6jURQMXem2bduyaNEi/vjjDypVyttULTg4mK+//prZs2fz+++/l4iQiksTp9PJzx8uYs4HC4k9Hpe7vVGH+tz+3DC6XndZGUp3jqXfLOfIruOF3tV0p05Gagbfv/Ezj065r3SFUyiKSaQ1mL5VW7HUQOuGwtCR7E4+yYHUMwyu0Z5fT2wu8OuS08NpfLNrCi2qGWoJ4J32t3MiPZ5lp7ezNnYvm+IPGZajU1QDVsfsKbNYIKMIBNdU99yosygcSY1hzIYvSLSlGY6vmnbwb0bU78n7u391O05D0CysRpEbsPoSw2p5pUqVuPnmm6levXq+fUIIhg8fzpdffulT4RSXLk6nk9dv+YDJT0zPo9wA7N9yiBeGvM2cie6/aKXF/E8Xe/xV43To/DFjBekpGaUik0LhSx5rNpiagZHFyqYSCGYfWcvTLYYwpFYnBK6HoZYdnwMQZPbnnfa3G+rhVCMwkjvrX8VnnUbxdIvrDcshgU6RxnpElSU6kvVx+z0P9BKH7uSRTd+QZE/3Kng8wZZGZf8wKllD3Vr0dCSjGvb2hajFRrVqUJRLfvn0d1bMWVegVURmN/P8/LFv2PNP2WbxSSk5vvsERsIB7Jl2zhwuX2mfCoURwvwCmXr5/Qyt3Rl/rWgxORLJ/pTTmITGUy2u5+fuT3B3gx70qtqSftXa8nzLoSzq+TTdKntfCHRwjQ5U8Q8z5EpbF7uPQ+kx9KzSoihvwxA5NWKKkxKvIZh1xHMNIm9ZHbOHExnxRbLGJTsy+LTTvUT5uZKKzn9/JuHqo/VMiyF0jW7iI2mLh1JwFOUOXdeZ84Fn64zJrLFgUtk37hRu6v5ciKayqRQVlFBLAE80v5bfej1Dt+imRbLmaOJcP7fqgRGMadiHl1sP56XWNzKoZociBzSbNRMfdLibYLO/R7mcUicuK4WNcQdKrCaPRPJU8+uJsoYArof/hYXxPKEj2ZZ4hAyHsQafRll6eluRLXFBZit1girxY7fxPNn8OhqHVifCEkS1gAhuqtOVH7uN5/pa5SN0AFSrBkU55PjeU5w+5NnS4XTorPp5PU98Pa4UpCoYIQQtujZhx6rdHjuph0aFUL2BasapKB6nMxKJt6USbPanVmCU2wawJUGQ2cpd9a9ipZcp1xqC5mG1kFKyOmYPPx5Zy4b4/ehSEm0N5YbanbihVici/IpWcqRBSBVmXPEgT22ZyX9Jx92OdUrdq1RuDWHYnWMSGp2jGnJD7U5cW7MDa2L38l/iMZxSZ86x9aQ5sgyvC5Cl2wnAz6tj3OFN3M35+GlmOme7DgPNVobW7szQ2p19JldJUGQFJzU1laNHj9KwYUNsNpuqg6PwGRlexKlkZfj2101RuP6BAWxbvtPtGM2kMfi+q7H4FT/lVnFpsvLsbqYd/JvtiUdzt9ULqszt9boxqEb7UlV0WoXXpnV4bf5LOm7Y1aEj6RbdhLd2zmfusQ1oQuSmesdkJfPFvmXMPrKOzzrdS73gykWSq4p/mCF3sbe0CKvJmcwkLJqZNhG1WRe7j0Rb/hgWDUGtwChebH0j4LIsda/cjO6Vm/HH6e2kHfJOuQkw+RFs9m2TzQi/YK8UNnC9r0E12hNiCfCpLCWN1wpOVlYWr7zyCnPnzgVgyZIlvPXWW2RkZPD+++8TFhbmcyEVlxZRNSINj42sWvZNLq8Y0okrhnRizbyNyALurppJo1aT6tz4xLVlIJ3iYuC7w6v4YPeifK6Fw2lneWXHHHYmHed/za8tNSVHCME77W9n3Iav2J962vBxk/ady7S9sI6NjiTJnsaDG79mTvdHsWa7q6SUbI4/xG+nthKXlUKIOYCeVZrTrXKzAuvEZHlRq8UIQSYrn3a6N1cegPisVGYeXsXPxzbkWoIi/IIYVvtybql7RYFKydb4w5iFZrgWj0loXFuzg89r4VxdrQ1LTv1reLyGoElodR5qMsCncpQGXsfgvPPOO+zfv5+ff/45t9nmgw8+SEJCgir2p/AJlapH0q53K7c9rQA0TTBgZNk3vdQ0jed+GM+QhwdisZpBgMlsQmiueIOu13Xk/RUvExQaWNaiKiog2xKO8sHuRUD+5pA5r+YcW+/VQ8sXRPgF81WX+3m6xfU0CK7C+VEm3sab5OCUkrNZSSw7vQOAmMwkhq+ayP0bv+TX45tYHbOH30//y5Nbv2PIinfZl3Iq3xx1g6J9UrcHXA/362tdlke5AVfq/INN+rOk1zP83P1x5l/1BAt7PMWohr0Ltbg4pNOrtf00MzfXuaLIshdG1+jG1AqMMnSOwi2BjGjQk8mdRxFotnocX97w2oLz+++/M2nSJJo0ORcl3aRJE1555RVGjBjhU+EUly63PTuUrX/uKHS/ZhIEhgRyzeg+pShV4ZgtZu5//25unzCMVXPXE3/K1aqh63UdqVw7uqzFU1RgZh1ZjUlobl1BAsHMQ6voX71t6QmGq8rxkFqdGFKrU+62g6lneP7fH9mXcqpItWYEgl9PbEITgpe3/5Rr8chR7nLdWpnJ3Lf+C77t+iDVA89Zcq+vdRnLzhR+77hwrYLbRrosKFF+IdxRr3uhx1s0MzUCjVmc6wdXMezOs2pmPu54j+G5vcEkND7seDdj1k8hLis1j9IsEEgkzUNr8HjzwTQJrY6lHHQFLypeS56WlkZAQH4/nK7rOJ3eaagKRWG06dGCJ74ex7sjPwXIE8ArNEFQaCBvLJlQLlxU5xMSEcyAkeWjBoSi4iOl5G8D/X8kkj0pJzmbmURl/7INE4j0C+ZA6pkiF9KTSA6nxvD8th/djtORpDttfHNoeZ46OJdFNaBdRF22Jhz2KIMA/DQLmbo916IhpURH0iikKm+3u51Iq2/iSwdUb8uHexZh190/J01CY9aVj1A9W7k5mZ7A2ti9ZDptVAkIp1t003wWJW+pGRjFjCseZPaRdcw5tj63AWn94MoMr9OFwTV87xorC7xWcHr16sXEiRN56623crcdO3aMV199lauuusqnwikubfreeRXNLm/Egk+XsHz2WjJSMoioGs6Akb0ZMLIXYZVCy1pEhaJEcUoduxeujVRHJpUpWwXnn/iDRa54nEOsLcXQOKfUWXRiMw83GZDrQtGExnvt72TU+skcSHXfHkVHkqnbmdDyBo6nxxObmUJGQjI3texJ68g6Po1pCrEEMKpBbz7d577i//2NrqZ6YCSxWSm8seNnVsXsRnIukyvY7M/d9XtwR71uxZIvwi+Y0Y36cG/DXqTYMzFrJoIqoBvKHV4rOM8//zzPPPMMnTp1Qtd1hg4dSkpKCldeeSUTJkwoCRkVlzA1G1dn7Af3MPaDe8paFIWi1DFrJoLN/oZSmgWCSL+QUpDKPVml3GQxS3dwKiORBiHnSjAEW/zpEFmfQ2lnPTblNAmNw2mxPNikP06nk61bt9IyvJZb5UGXOofTYsh02om2hhLtb+zH1l31r8IunUzd/6drnmwbU07w+KiGvbmjXjcSbKmMXPcZZzOTc61QOWNTHZl8sncx8bZUHmk60NC67tCERpjfxRkf6LWCk5CQwMcff8yxY8c4cOAADoeDevXq0aBBA88HKxQKhcIrBtfowI9H17q1ipiERpdKjQkvBw+qCEtQkY/NedB7W6fFXEDAbJZuz42xcYfAuFLm0J38eHQt3x9enac5Zeeohoxo0JN2kfXcryUEoxr25rqaHZl//B92JZ0AoFlYDa6r2THXvfj53qWczUx2e82/O7yKPlVb0TK8liHZL0W8VnBuueUWJk+eTMuWLalVS51YhUKhKEmG1+nC3GMb0KUsJBzWFXh7Z/3Cg2FLi0ynncn7/yjSsSahYRYaVf3DOZIea/i4cEtggcG4NQIiCyzbcCFOKQ0F8zp0J09umZnrMjqfjXEH2Bh3gJdaD6df9TYe56rsH1Zov6ZUeyYLT27x6OYzCY05R9cpBccNXufSVapUibi4OM8DFQqFQlFsagRG8n6HO/HTzPnq4OT0/3m+1VDaRtQtGwHPY8Hxf9idfMLr4wTQt2orpnUZR/PwmobTvAWCYbUvLzAgdmANY524NSHob0ApmXFoZYHKDbgsTjqSF7fP5kR6vKF1C2NX8glsusPjOKfU2RBXtr34yjteW3CaN2/O2LFjadWqFTVq1MDPL28J6TfeeMNnwikUCoXClRk0u9t45h5bzy8nNpNoSyPIbKVv1dYMq315nviTskJKyewja4ucPVUjMJIGIVW4vuZl/HZyq6Fj6gdX5rZ63QrcV9k/jBtqdWLOsfVuZbq5TleP7SEcupPvj6z2+N6klPx8bAMPNOnvYaT7tQyP9bK2zqVGkRLcr71WVWRVKBSK0qRqQDhjG/djbON+ZS1KgWTpdq9cS+cjgR8Or+Gu+j1oG1GXzlEN2Rh3wG0sTsuwWnzY8W63mT+PNhtEqjOLxSe35qkllPPva2t0MKSM7Ew6kZtK7Q4dydLT24ul4NQNNlY3S0NQP7jsFdvyjNcKjrLQKBQKheJCitsDKs2ZxYa4/XSv3Iw3293Gk1tmsiFufx7FJMdBd1+jvtzToKfHOc2aiZda3ciNtS/np6Pr2JF4DIGgdURthtW+nOZhNY3J5kVjTm/GFkS1gAhDCp6OZFg5b3ZZ1nit4HzyySdu9z/wwANFFkahUCgU5ZtMp52YzGTMmkYV/zC07HgZf5OFGgERnMxIKLKban/KabpXbkaQ2crHHe9hc/whfj6+gUOpZ7FqFjpXasj1tTpRxYtihkIIWoXXplV47SJKheE0cAFEW4tfn+v+xlezed1kpNQLDCzXhKBZaA2uqty82GtdzHit4Kxfvz7Pa6fTyfHjx0lOTqZfv/JpOlUoFApF8TiRHs+MQyv59cTm3IaWVfzDuKlOV26sfTlWk4Ub63Thw92/4Sk1uzA2xR1kRLZlRghBh6j6dIiq76u3UGQaBFehQXAVDhqo0HxtzY7FXq95WE0mdriLp7Z+R6ojM7eFQo41q214Xd5uf/tFUW24JPFawfn2228L3P7666+XWidbhUKhUJQee5JPcv+GL8hw2vOkL5/JTOLjPYv5+8xOPrnsHobU7MQvxzdxOC2mSNWMtyYcJt2RVaKNHe26g7/O/Mfik1uJy0ol3C+QvtXa0KdqKyyFJBYLIRjRoCfP/vtDofNqCEItAVxTo71P5OxUqSELezzFklP/sipmN+mOLKoFRHBtzY60Dq+tnrcG8FkXrTvuuIMbbriBp59+2ldTKhQKhaKMsekOHvlnGulOW4FVgSWSHYlHmbhrIU+3HMJnne7l2a0/sDH+ACah5fZ2MoJdOonJSqFOCSk4h1LP8tA/X3MmMym39YFAsDZ2H5/s+Y33291Z6LF9q7XmZEYCk/Yuydf8VEMQYgngk8tGEmrJ36uxqASY/bi+1mVcX+syn815KeEzBWf58uVYrRdXHwuFQqG42Em1Z5LuzCLUEoh/AU0c/zy9gzhbqts5dCS/ntjM/Y37Ee4XxKROI9mbfIrfT/1LfFYqv57cbFgeiygZt0tcVgr3bfiCZHt6rsxwrpd4oi2dBzZ9zVOhPQqd4676V9Exsj6zj65l+ZldZOkOoq0hXF+rE9fX6ugx3VxRuhSp2eaFprG0tDSSkpJ48sknfSaYQqFQKEoGKSV/n93J94dXszXhMABmYeLqaq24rV43GoVUyx37x+ntudYOd9ilk9Uxu3NdNI1Dq9E41DXPqcwEtsQf9jhHVf9wqgZ43yw002ljyaltLDi2kdOZSQSZrfSs0oIhtTpRNSAcgNlH15FkSy9UBh1JhtPGHxn76M0Vha7VIrwWLVT14AqB1wrOgw8+mOe1EAKLxULLli2pU6eOzwRTKBQKhe+RUvLB7kV8f2R1nsrIDulkyalt/H5qG2+1u41ulZsBuFUKzkcgSLFnFLhveJ2ubIo/5PH4m+p0yc3KMsrRtFge2DiV05lJucG4MVnwzcHlTD+0ghdb3cjV1Voz9+h6j+/DKXXWZBzGpjsIMKkA3oqO1wrOiRMnGDlyJAEBef2MqampvPnmmzz11FM+E06hUCgUvmXhyS18f2Q1kL+pZU5cyVNbvmN2t0epHhhBJWsImhAeu3JLJJHWgl00QSYr0dZQYrKSC9yvIWgbUZcb63Tx6r2kOjIZu2EqcbaUXBly0JEgJS9s+5FAsx+J2a4pT9hwEp+VSg2LCrmo6BhScA4ePJjbf2rSpEk0bdqUsLC8ZsS9e/fyww8/KAVHoVAoyilSSqYfXO6xx7ZT6sw5tp4Hm/Snf/W2LDuzw+Pc/iYLV0Y3zbf9y/3LmLJ/WaH9pSxC44banRnXuD9+mne/uRed2EJMVpJH+9K3B1d4Ne9taz6mY6UGtAyrSY3AKNpF1qOSNcSrORRlj6FP09mzZ7n77rv/3959h0V1Zw0c/947Q6+CiAiKih1RsPeWWJJo1h4TE2PMbnqyb3o0Pdkku2bT6yYxvRm7MTGJPWrsCqKIUiwgiiBV+sy97x8IipQZYKiez/PsRu7cuXNmBpjDr5xT+nVFxfycnJy4/fbbbRaYEEII2zqRk8KJnBSL52norE06wINdJzDUpyttnb1JykuvdOu3AtzUbki57d3rzhzkk9gNAJXfV1GZ3X54hQucdV0nPP0Eu8/HUqCZaOvszVi/XrgaHQFYkbDbYnKjoROecZLObq2Jy062arotVyvkz3NH+PPcEaB4hOma1j15uNsNtLSy6J9oeFYlOIMGDSI6OhooXmS8dOlSvLwst5cXQgjReGRaOU0DkF1U3HLAqBp4t98d3L3rU1IKsspMA5UsPh7tG8zdna8td42v4reUroupjEkzszxhV7keW8eykng24ieO55zDoBSvFjLrGm8eWcPcjqOYFzSaM3kZVj+fgd6diMk+a/X5l9PQWX/2EDtTY/hP2K30a+DigwXmIvLMRbgaHaTYXxWqvQZn48aNld527tw5WrVqVauAhBBC1A1PO2erz/W4rJ6Lv7MX3w19kBUJu1lyamfpWpqenm2ZGTiYa1uHlFscnJBznmPZZyw+jobOL6cPlElw4rKT+ceuTygwF1dMvnz0p0Az8b/Y9Vww5eNgMJJrLrDq+exIjbHqvMro6GSb8rlvz2eEtmjPcyHTCHD2rtU1q2tHyjG+P7GN3edj0QF71cj1bcK4uf1QOrjKZ++Vqp3gxMfH89///pfY2FjM5uJW7bquU1hYSFpaGlFRUTYPUgghRO0FuvhY1XJAReF6/7AyxzzsnZkbNIq5QaMo1EyoKFWOHljTfbtERlHZc9848jMF5qIqp5O+O7GN0a2C2XIuyuK0k5PBnrgLyVbHY8nB9JPcseMjvhx8H/7O9TOb8dGxP/gifjOqopQ+20LNxM+n9/FL0n5eD7uVIT5d6yWWpqJ6+/GAZ599lrS0NO68805SU1OZN28eEyZM4MKFC7zyyit1EaMQQggbUBSF2zuOrDIdUAA71cDUtpV3qrZXjRanRtztHK2Oy814abToVE4qe9PiLSYtBkUlKS/N4nkKCs4G+zJb4mtLQ+eCKZ+3on+x2TWrsjbpAF/Eby5+bL38zjeTZuaJA9+RlJteL/E0FdUewYmMjGTx4sV0796dlStX0rFjR2bPnk2HDh1YunQpU6ZMqYs4hRBC2MCENqHEX0jmy/gt5bZ/GxQVVVFYGHZraYG8mvKwc8bDztniuh+DojKhTWjp11GZiVZd36xrHLViCizEoy2RmQlVrgOqCbOusfVcNMn5mWW6m5t1jSLNhINqV6t+UWZdY/2ZSBaf3M4hC6+JzqW1TA90nVDjx2xuqj2CYzQacXMr3i7XsWNHjhwpXmU+ZMgQjh49atvohBBC2Nx9Xcbzdt/b6e8VVDqu4aAauTGgH98NeZDBPl1qdf3k/Exu3/FhaVuEypQ89rTLRotsnYjM7TjKpte7nI5OZMYpdF1n27loHtzzOUN+f5YR615g7MZ/8f7R30jOz6z2dYs0E08e+I5nDy7msJUJn4bOr0kHqv1YzVm1R3DCwsJYtGgRTz75JD179uSXX37hjjvu4NChQ9KLSgghmoghPl0Z4tO1TnbkLAj/4eKOq6qpisorvWfR1uXSYt3L20TUlkFRWXvmAJ3dWhObfdbqpp/VUWQ28caRNfx0asfF9THFj5FVlMe3x7eyPGE37/efRw+PAKuv+f7R39l6rnjncnUizqqkkvTVqtoJzvz587n33ntp27Yts2bN4uuvv2bAgAHk5uZy33331UWMQggh6oiDwQ6HizVoNF1jV2osyxJ2cSzrDKqi0M+rI9PaDaK7h79V14vKTCQy45RV5z7bcxpjWvcsc6yTW2uCPQI4knm61gmJWdc4lXOemYGD+deh5bW6VmXiL5zjp1M7gPLrYzR0ck0FPLT3C1aOeBxXK9YlZRflsSxhV41GstyM1q97uhpUO8Hp1KkTf/zxB/n5+Tg5ObFs2TJ2796Np6cnoaGhdRCiEEKIupZnKuSJA9+y63wsBkUt3Zr9S9IBVp/ex82BQ/m/btdbXFey6ezhMvevjEFROX7hXIW3PdJ9Infv+gRdr/2UlYPBjgltQlmVuJfDGQkVJk0qCgZFpUg3W31dFYUubn78dia8yvM0dLKL8vglaT83BQ6xeN0tyVEUaiar4yiNR1G4rk2Y5ROvItVegwOgaRq7du3iyy+/xGQy0aJFC4KCgmwdm0UFBQUsWLCAfv36MWzYMD7//PN6j0EI0XSYNDObk6P4OGYdH8esY0tyFCbN+g+15uy5gz+x53wcULbuTMm/fzi5nS/jt1i8TrYpz6r9SgqQZap4SiXEsx3v9rsDT/viuj0GRUVFQUVBQeG6NqFW7YpSUBjq0xV71cg7/eYy4mIDUYOiYlTU0vYR3Tz8WT7iUVYMe5QnPEaxoPtkvO0r7qtVEjvARP++Vq2x0YFfTlu3PuZ84YVK21pUxYDKtHaV73y7GlV7BOfMmTPMmzePzMxMMjMzueaaa/jss884cOAAixYtomvX+tuHv3DhQg4dOsRXX31FUlISTz75JG3atGHCBFlFLoQoa9PZQ/wnajVphRcwXvwAMeka3vauPBU8mZG+PRo4woYTk32GLecs1zD7Mn4zswKH4GS0r/QcL3tXq8ZcdKgyiejnHcSaUU+yOTmK3edjKdTMBDh7Mcm/L62dPCk0m9h8LqrKkSKDonBjQF8AXI2OLOxzK6dyUvktKZzk/EwcDXaM9+tNrxaBAJjNZjrYexMaEMqEgFBeOLiEjcmXRqRKeng5Gex5ufdNmC00IL3c+YJsq85zMzpaHP0q+xyLv5dfDb253mryNBXVTnBeeukl+vXrxwsvvEC/fv0AePPNN3n66af517/+xTfffGPzICuSm5vLkiVL+PTTTwkODiY4OJiYmBi+++47SXCEEGVsOBvJ/PAfSr82XfYBklZ4gScOfMu/w2Yz2je4IcJrcD8n7rNqWinPXMim5MPligBebrxfbz6Lq7zifQmzrjH+su3hFbFTjYz168VYv17lbnusxyQOZyaSUpBVLu6S9hDPhkzD+7ImmbquE5d9lr1p8YSnnwBgdeJervfvwy2BQwlwupQgOBrs+XfYbGKyz7A6cS+JuWk4qEYGeHdiQptQnI0O7E+Lt/g8S3hYWUV6hG8PFkattmr9kUFRGe/Xi1vaD6eLu+0WZzcX1U5w9u7dy08//YTBcGm1vZ2dHffdd1+91sCJjo7GZDIRFnbpB61v3758/PHHaJqGqtZo9k0I0cwUmIt49dCKSjtolxx75dByhvl0xa6aHa2bg6oaaV7OoKicyau6mFygqw/DfbqxPeVopR/S6sWpo0CXljWKF8DbwY0vBt/LO9G/su5sZJn4g1xbcV+X8Qxrdam7ua7rvB61mqUJu8pMbxVoJlYn7uXX0/v5b9ht5T4UO7v58Wj3SRXG0MszkBb2LharNisojG/T26rn1dLBjXFtevNHUkSlr58CeNm7sXT4w7hUo6Di1abaP8mOjo6cP3+eDh06lDl+/PhxXF0rH260tZSUFFq0aIG9/aWh0pYtW1JQUEBGRobVzUBL2k2I+lXyusvr37Cuhvdh/ZmDZJvyLZ6XVZTHhjORjG1dfrSgrjX0++CgGEsbZ1ZF13XsFIPFOJ8LnsY/939JVNbpMollyb+7ubfhueBptX6+nkZnnu85nYe6XEdExkmKLnYc7+rWBkVRylx/ecJulibsAij3PM26hqZrPH7gW15oMc7quIq7qA/m49j1VZyj4KAaud4v1OrrPtb1Bo5nnyMm+0y5WA2KirPBgbf7zMFRtWuWP7uWfh6sfc7VTnBmzZrFc889xxNPPAEUJza7d+/mrbfeYsaMGdW9XI3l5eWVSW6A0q8LCwutvk5kZKRN4xLVI69/49Cc34fN2QcwoGC2VPofhU2xB/A5a/36B1trqPehTb6DVVMiGjqeqWbCM8ItnnuPfX92ufqyKS+WJHNxc04/gzujnTox0L4dsYejaxt2GZ4X/5tPChGklI1b1/k0rfIkBIoTrwKtiO15x/GItH5UJER3p4+9P/sLT5cbJSxZGH2X20BORcVi3eb5Yvc59GeDOZYt+XFkasUJuh0GBjsEMs65CxfizhJOzbqjNxW1/XmodoJz//334+7uzgsvvEBeXh533XUX3t7ezJ07lzvvvLNWwVSHg4NDuUSm5GtHx2p8c4aElJluE/XDbDYTGRkpr38Duxreh3VHElBOnwALC0IVRaFly5aEdgutl7gu19DvQ3dzMCv+PEy2Kb/SbdkGRaWnR1tu6DfS6uv2py8PQOlONVsVErycSTOzPfUocReSURWVEI+29GnRocx29uis02SkWi6CpwMb8mJw8fYg0NWHsa1DcLGitkxvvTe/nN7Pj6f+4nhOcXJlVFSubR3Cre2HE+TqW6PnNoB+PKFrJOdnYtLMtHJ0x9FQ+QLvihzJPM3K03uIv3AOO8VAX6+O/C2gHy0vW5vU2Fj6eSi53ZIaTTbfdttt3HbbbeTm5mI2m0tbN9QnX19f0tPTMZlMGI3FTyMlJQVHR0fc3d2tvo7BYGi2v9ibAnn9G4fm/D50dvfDnGh5VMaka3R292vQ16Gh3gdng4HXwm7h//Z+WTxdU8G0iLudEy/0mlGj+OrqOf1xJoI3j/xC2mVbq826Rltnb57pOZUwr+KlFIezTlt9zVy9iKWJuzDrGm8fXcvfO41hTocRVdb/MWBgSuBAJrcbQGpBNgVaEV72rjgba1/d34CBtq7VX6tUYC7i+YM/ldkFBhCRcZLP4zfxWI9JTG83qNbx1aXa/jxYtRJ39uzZZGVllTmWn5+Ps7NzgyQ3AN27d8doNBIeHl56bN++fYSEhMgCYyFEqfFtemOv2lk8z8lgz3g/6xaCNkf9vYP4ZOBd9PEqu77SoKiM8Q3mq8H3N6ptyGtO7+eZiMWkFV4AihObkg/x07lp3L9nEQfSjgNUWlCwMiZdK52y+uDY7/yvijU2l1MUBR9HdwKcvW2S3NTGC5FL2JRcvPX/8gXYGjoaOgujVrO2mfeusioT2LdvH0VFRWWODRkyhISEhDoJyhpOTk5MnjyZF154gYMHD7J+/Xo+//xz5syZ02AxCSEaH1ejIw90HW/xvAe7TqiyvsvVINizLR8O+DvLhj/K62G38kafOawZ9SSvhN5c6+7itnShKJ//HF5Z6e0aOpqu83LkMnRdx8POqVaP90XcJk7nptXqGvXpaFYSG84eslgF+r2jv1Wr5k5TU+OhDr0aBY7qyvz58wkODub222/nxRdf5MEHH2TcuHENHZYQopG5KXAID3e7ATvFgAKXVcUFO9XAo90nNvrh+vrU1sWbkb49GN6qW5k6Mo3Fr0kHLLYz0NBJzEtjb1o8bWo58qQqCssTdtfqGvVpZcIeq6ohpxZksys1ph4iahhNuuCDk5MT//nPf/jPf/7T0KEIIRq5m9sP5fo2YfyStJ+jWUkAdHf353r/PrjX8i98Ub8OZpwsLeZXFYOicjD9JLPaD2Xh4dUU6tXv8QRg1nUOpp+s0X3rU0LOefalxbP7fKxVIzMKcConlSE+9deBoD416QRHCCGqw8PemVvaD2voMEQtabp1LTgVitefuBgdmBs0kk9iN9T4MWvb9LMunc5N47XDK9l9PrZa99Mprv/UXFmd4Kxdu7ZMIT9N01i3bl25gnqTJ0+2WXBCCCGaPl3XibuQTHJ+Jk4GO3p6tsO+FhWjg1x92cghiymHSdfo5NYagHlBo8kozOWnUzusaktxOYOi0sMjoMbx1qXTuWncseNDq4pZVmTxyR3cGNCvUa2xshWrvsPatGlTrlO3t7c33377bZljiqJIgiOEEKLUpuTDfBq7gdjsS0Xp3IyOTG83iHlBo3EwWN7hdqVJAX351IrRGE8759IO4qqi8liPSdzg34dlp3ZyIP0EZl0jszCXHHNBldcx6xpT2w6odpz14T9Rq8g25dd4sXCuuYD/xazj+V71V6i3vliV4GzcaLlxmhBCCHG5xSf+4o3oNReXc1+Sbcrnq/gthKef4L3+86o9mtPK0YM5HUfwZfyWKs/7v243lCsu2N3Dn2dCppV+vT8tnvv3fH5x2qviMaEZ7QbR3rVVtWKsD6dz09hZy0XCZl3jjzMH+b9uN+Bhb11D0KZCCsYIIYSwubjsZN6MXgNUvH5FQyc8/SRfxm2u0fXv6TyWuR1HltkRp1y2M25B8JQqu56X6OPVkbf63l660FxFwaCopde9tf1wHuk+sVqxxWWf5d3otTwT8SOvHlrBtnPRdbIdu6TOT20V6WbiLyTb5FqNiSwyFkIIYXPLEnaiWljroqOz9NRO7ggaVe0u7qqicl+X8UxrN4jViXuJyz5b3KrBsx03VHNn3KCWnfl19FNsOBPJHzF78fDyJNDFh4n+fWjpaH1l/AumfJ6L+IltKdEYFBVd11EUhZWJe/Bz8uT1sNvo4u5XredZlSLddo02G+8S6pqTBEcIIYTNbU6OsmrUIqMol+isJEI829XocXwdPfhHp2tqdN/L2alGxrbuhc9ZjdDg0Gq3CDBpZh7Z93XpdvLS536xZlxyXib37P6ErwY/QFsX71rHCxDoUv0WDhUxKCoda9gvqzGTKSohhBA2l28usnxSDc5trDYlHyY8/USlXdk1dPLMRXwWV/Ot6lcKa9EBf6faFTE0KCrj/Hrh2czW34AkOEIIIepAa0dPq8/1dfSou0DqyZJTO1GpvCEnXFrQm1GYa5PHVBSFh7pdV+P7GxQFF6MDd3W61ibxNDaS4AghhLC5KW37W/i4L17Q28uzHe1sNNXSkI5lnal09OZyZl3jVE6KzR53tG8wz/achlExlNmtVtKqYahPV8a2DgGKW04YFLX0tgDnlnw68O5G1UTVlmQNjhBCCJu73r8PX8ZvIa3wQqVrcTR07gwaU8+R1Q1VsZTOXaJU41xrTAroy1Cfrvx8eh+7z8dSYDbRwdWHKW0HlBYovC93PGuTDnAuPwtHgz0jWnWjr1dHm8fSmEiCI4QQwuZcjA58OODv3L97EecKMlG4tFPHoCjoOjzdcyqDfbo0ZJg2E+LZll2psRZHcRxUuzpZ0Ovl4MrtHUdye8eRFd7u7+zF322wGNuSC6Z8fj19gM3Jh7lgyqe1oyeTAvoyxKerVQ1AbUkSHCGEEHUi0KUlPw3/P34/E8HKhD0XWzXYM9o3mKntBhDgbJvdRI3BjHaD2WGh6J5BUbnBPwwXo0M9RVW/dqfG8sSBb8kzF5ameceyz7D5XBQdXVvxbr87aFWP660kwRFCCFFnnI0OTGk7gCmNtNWBrQzx6cIY32A2JR+ucAzHoKh42bvWyyhKfYjNPsvO1BgKzEX4O3vh5+TJw/u+wqSXHcPSLm6TP5mTyn27F/HNkAdwMtrXS4yS4AghhBC1pCoq/+o9i7eif2F5wm40XcegKGi6joZOiGc7Xu41k5YObg0daq0k5JznxcglHMw4VVxBWlEw6xoqCpU3u7i4uDo3ld/OhNdbsisJjhBCCGEDRtXA4z1u5O+dxvDHmYOk5GfhbHRgRKvupV3Nm7Kk3HTm7fyICxc7l2vopYUMrdlBpgDLTu2SBEcIIYRoilrYu3JT4JCGDsPm3o7+hQu16FyuA6dyU20bVBUkwRFCCCFElVLys/jz3BGrRmqqYqdUrwVGbUihPyGEEEJU6VBmQq2TG4OiMrBlZxtFZJkkOEIIIYSoUk2npa68xvR2g2wQjXUkwRFCCCFElYJsUJxwVuBQ+nh1sEE01pEERwghhBBV6uDail6e7Sw2FAXKVSz2sHPm/7pdz8Pdrq+r8Coki4yFEEIIYdFDXa/j7t2fouhUWPFGRWFQy848HzKdXedjyTUV4OPowaCWnbBT6z/dkARHXDWS07PJyi2ghasTLT1cGjocIYRoUnq1COStvrezIPwHLpjyUVHQ0DEoKmZdY5RvMC/0mo6jwZ4JbUIbOlxJcETz98e+o3y9bh9RJ5NLj/XtHMDc8f0ZGty+4QITQogmZlDLzvw6ej7rzxxkZ2oM+VoRbZy8+FtAX4IaWTFDSXBEs/buiq18+cdeVKXsvPGB2NPsi0nk0ekjmX1NnwaKTgghmh5Hgx0TA/oyMaBvQ4dSJVlkLJqtDQdi+PKPvcClhm8lSr5+Y+kWIuKS6j02IYQQdUsSHNFsfbt+X7mRmysZVIUfNh2op4iEEELUF0lwRLOUnp1LRPyZciM3VzJrOhvDY9G02lXoFEII0bjIGhzRLGXnFVp9rsmsUVBkwsnBrg4jqpljiSmcSE7DzmCgd8c2eLk7N3RIQgjRJEiCIxqt/EIT57NysDcaaOnhgmJhuulyLVwdURSwMIADgKO9EUf7xvWjsOvISd5ZsY3ohHOlxwyqwrV9uvDI9BH4eLg2YHRCCNH4Na7f6kIAiSkZfL1uHz/vPExBkRmAAB8PbhkdxrQRvbAzWO5G6+bsyPCeHdl++DjmKqafDKrCpEE9qpU81bX1+4/x1Ge/liukZdZ01u8/xoHY03zz5M34eEqSI4QQlZE1OKJRiTp5lptf/Y4V2yNLkxuA0ymZvP7TZh58fwWFRSarrnX7uH5VrsFRAFVRmDU6rLZh20xmTj7PfPEbuq5XOPpk1nTOZ+Xwyvcb6j+4BqbrOtl5BWTl5MuaKSGERTKCIxqNvMIiHnh/JXkFReUSk5Kv9hxN5L1V23l0+kiL1wvr5M/zt43jpW/WoSiUGckxqAqqovD63ZPo0NrLlk+jVn7ecZgis7mCIuiXmDWdrYfiSTqfRRtv93qLraEUFplYsf0QP2w6wKlzGQB4uTlz06jezBwZioeLY8MGKIRolGQERzQav+89SsaFvCpHXXRdZ+mfB8nJt24R8Y2Dg/l+wWwmDQ4uXUTs6uTAzJGhLHluDiNCOtokdlvZfviEVeuGdB12R5+q+4AaWG5+IXe/vZSFizeRcDG5AUjLzuV/a3Yy+7XvOJuW3XABCiEaLRnBEY3GH3uPWrUwuKDIxF+HTzC2bxerrtslwIfnbh3Lc7eORdN0VLXxrLe5Un6hddNvCpBv5VRdU/bqDxuJPH62whEtTddJTs/m/z5axQ8LZjeqdVRCiIYnIzii0cjMybdq9AIgMze/Ro/RmJMbgLatPDBYEaMOBLT0qPuAGlBKxgV+2xNd5YieWdM5lpjCvpjEeoxMCNEUSIIjGg1vd2eLlYdLeLk1z3owk4f0rHLXVwlvd2cGdQ+sh4gazvr9MVWuRSphUFV+23O0zuMRQjQtkuCIRuP6Ad0tVh4GcHG0Z0iP9nUfUAMI6+RPvy5tLY403TdpCKqikJWTT15hUT1FV78ycvKsGs3SNI2MC3n1EJEQoimRNTii0bgmrDOtvbaRknGh0lEMBbhlTFijK8xnK4qi8MY9k3j4o1XsjzmNQVVKX4uSf88d14+T59IZ9dhHXMgrAKBn+9bcPDqM8f26NvppOGt5uDhi1jSL56mqgoer7KQSQpQlIzii0bAzGvjgwal4ujqVm6oq+Xps3y7cdcOghgiv3rg5OfCfO29gxoje+Ht74OHiQEBLD24aFcobd09i+bZIvtuwvzS5AYg6mczTX6xlwee/WpUUNAXXhHVGwXKyZtZ0xvftWg8RCSGakub5Z7Bosjq09mLx07ex5M8IlvwZQVp28dRDSIfWzBodxtg+XZrNCEVFikxm/rtkC8u3RaLpGgZVRdN1MnMKOJqQwq+7ormQV1huKq/k6z/2HaOjn3ezSAJ9W7gxtm8X1u07VunUpUFV6NDai/5d29ZzdEKIxk4SHNHoeLk7c/fEwdx1wyDyC00YDSp2RsvtGZo6TdN58rNf2HIwrnQ3mcl8aTTmQOxpq9YofbdhP3PH9cPerun/eD99yzUkpmYQdTIZdMosOlYVhZbuLrx9399ki7gQohyZohJ1RivZwnsskeNn09Ct3QN+kaIoODnYXRXJDcCWg3FsjoirdKu8NckNQHZeAQ9/vJpN4bFlEqSmyNXJgU8fnsnD00bid1nVZg8XR+68bgDfP30rbbyb93Z5IUTNNP0/8USjU1Jt+Ov1+zidmll6vLN/S+ZNGMD4frJeoiI/bg5HVRSrE5mq7Dpyih1RJ2nl6crrd00kpIOfDSJsGI72Rm69pg+zx4SRkZOPpml4ujphUOXvMyFE5eQ3hLApXdd56dt1vPbjRpIuS24AYpNSmb/oVz79dSe6rpOanc/RxBTOZVxooGgbl8jjZ2yS3MCl0Z7UzBzufmspMadTbXLdhqQoCi1cnfB2d5HkRghhkYzgCJtaszOKVX8dBihXpK3ks/ujn3fw844oElMzgd1Acf2XO8b3Z1jPDvUXbB0yaxpp2bkoKHi5OVu1MLq6U3jW0HSdIrOZ91du4537J9v8+kII0VhJgiNsRtd1vt2wH1UBS8V4E68Y3YmIS+KhD1by6PSRzL6mTx1GWbeycvL5cXM4P20JL90B5uPhwsyRodw0qjeuTg6V3jeoTUuiT52z2ShOCbOms+3Qcc6kZeHn1fy7jwshBMgUlbChlMwcYk6nWkxuKlLyof7G0i1ExCfZOLL6kZJ5gVv/8z2f/LKzNLkpPp7DRz//xe0LfyQ9O7fS+980srfF5EZVFAyqYlWF38vpQFzS+WrdRwghmjJJcITN5OYX1voaBlXhh40HbBBN/Xvik184cz6rwiRF03VOnUvn6c/XVnr/8f26Etzet9LpLFVVcHGy5+N/TmP6iN7VruYsW6mFEFcTSXCEzVSnWWZlzJrOxvDYOlmPUpf+2HuUiPikKhtlmjWdndGniD9T8UiKvZ2RDx+cyoCu7YDiZK94xKb4x9SvhRuLHplJ3y5tefKm0Wx54z5G9Q6yajTHoCp0a+tTg2cmhBBNk6zBETbj5uzIqN5BbDkYZ1VH7MqYzBoFReYm0W/qYPwZ3ly2hYPxZ6w636Aq/LHvGPdMHFzh7W7Ojnz40FSOJpxjza4jpGRcwMXRntGhnRjSo32Z0R07o4Hbru3L5og4i495TVhnvN1drH9iQgjRxDX+TxDRpMwd358tB+NQKL+LylrODnY42DX+4n57jibwwHvLq5XMKRc7gFvStW0rurZtZfG80KA23Dg4mJ93HK7w9TaoCq5ODjw4eZjVMQohRHMgU1TCpnq2b81rd16PQVWrvRAWij+Qbxwc3OjXixSZzDz12S+YNb1au550XcfT1clmcSiKwrO3XsucsX2xM6goChgNl177zv4+fPXELPxbSrVfIcTVRUZwhM1d26cL3dq2YsmfB/ltTzQX8gtp4epE/65tWb3jcKWtCBQFVFVl1ujQeo23JjaGx5J+Ic/yiVcwa7rNKzkbVJV/Th3B3PED+H3vUc6kZeFgZ2R4zw4Et29t08eqjKbp7Ig6wY4jJyksMuPf0oOJg7rLtJgQosE02QQnKiqKKVOmlDkWHBzM8uXLGygicbkAH08enjaCh6eNKHO8Tyd/XvxmHYpCmamd4q3PKm/ccyPtWrWo73CrbcP+mBrdz8HOSGJqJoG+tn+OHi6OzBzZ2+bXtSTy+Bme+uwXzqRlY1RVUIoTnvdXbWPW6DD+OWU4RoMMFgsh6leTTXBiY2Pp3r07n376aekxo7HJPp2rxqTBwXRr58uPmw6wdvcRCorMuLs4cuPgYGaM6EWAj2dDh2hRXmER2w4fr9F9C4tM/PODlbxxzyRG9gqycWT172jCOe56awlFpuKmnibtsuaeOny/YT85eYU8d9vYBopQCHG1arIZQVxcHEFBQfj4yNbXpqazf0sW3DyG67t70bt37yaXmP6+9yj5haYa3VcH0HVe/PoPfv/3XU2+U/obS7dQZNIqXYekAyv/OsT0Eb3oEehbv8EJIa5qTXbcOC4ujvbt2zd0GKKWGvti4oqs3H6I2oStAxk5+WwMj7VZTJacOpfOeyu38dRnv/D8V7+zdnc0hUWWkzSzppGVk09eYVG5204mp7P3WKLFRdYGVWHJnxE1jl0IIWqiaf3pfJm4uDg0TWPSpElkZ2czYsQInnjiCVxdXRs6NNHMnUnLqnShtLWMBpXwuCSbLzi+UmGRiZe/W88vu45gUBV0vXgx9887o3j9J0deu/O6Cn8JJKdn8/3GA6zYHsmFvOIK1SEdWnPz6DDG9e2KqipEJ5yzKgazphN5/KwNn5UQQljWaBOc/Px8kpOTK7zNy8uLhIQEAgICePXVV8nKyuK1117j8ccf56OPPqrW45jNZluEK6qp5HVviq+/i4M9KeTU+jomk7lOn7+u68z//Fe2RMQDly3qvvifzNwCHvpgFY/d0IuQy+I4mnCOe99dQW5BYZmF4IdPJLPg87X8eTCeF+aMRbt8vY3lYJrke11fmvLPQ3Mi70PjYOl9sPb9abQJTkREBHPmzKnwtg8++ICdO3fi4OCAnZ0dAP/+97+ZNm0aycnJ+PpaP9cfGRlpk3hFzdTF65+eU0BaTgEOBpU2LVwq7e1UUz1au3IyOb3GhQyhuFqzvTmX8PBwW4VVzrEzGWwKr7zKsa7rmDSdpbvj6diquMt4QZGZ+Yt3k1NQVK5paslU1G97j+JIAf06WLf+TVUU2rjb1elzbS7k91HjIO9D41Db96HRJjgDBw7k6NGjVp8fFFS8I6W6CU5ISAgGQ9Ne6NkUmc1mIiMjK3398wqK+H3fUdbvjyErt4CW7s5cP6A7o3p3xFjJ+3Ug9jSLftvDruhTpcdaerhw08jezB4TZrMFvUaP1vwakVCra9gbDfxjyrW4OTvYJKaKLDmwFoOqVFlpWdch5mwWbq0CCGrTkhXbD5GdX369zZU2Rp3liVtvoF/EGfbHnkar4jE0XefuKaPpZkVl5quVpZ8HUT/kfWgcLL0PJbdb0mgTnKrExsYyY8YMVq9eTdu2bQE4cuQIRqORwMDAal3LYDDIN3IDquj1j4hP4v8+XEVmTj6KUvwhrCoKWw+dwL+lBx88OJV2rTzL3OePfUdZsGgtXDFYk5qZw4c//8W+mETeuW9ytZOcgiITm8JjOX42DaNBpU8nf/67ZAuqolSrgvGV7pk0GE835xrf/0rnMi6w6q9DxCWdx2hQCevkz5FTKVa3kTh+Np0ubX35bc/R0te8Klm5+eyLTeKxGaO4feGPFOnmSl+PKUN7Etzer7pP6aokv48aB3kfGofavg9NMsHp2LEjgYGBPPvssyxYsICsrCyef/55ZsyYgYeHlKRvyk4mp3PfO8spuLjDp+Qzs+TD82xaFne9tYTFz9yGh4sjULzo95nPf0PX9Qo/mHUddkWf4rO1u7h30hCrY1n6ZwTvrtzOhbwCjAYVXdetThiUi/+noJR2RlcUBRSYO64fqqJw99tLySsoIrBVCyYP7Umfzv7V3lWmaTrvrdrGN+v2lXnwX3dHX5nrVamkC3xadq7VC6jTL+QyNLg9nz0ygyc/+4Wk81llCv0pisItY8J4aIr0wRJC1L8mmeCoqspHH33EK6+8wuzZs1FVlUmTJvHEE080dGiilr74fTeFJlOlowFmTScl8wIrtkUyd3x/AJZvjUTT9SrXxOg6/LQlgjsnDMDezvK3/Tfr9/HWsj9LvzaZq7GgFkBRuOeGQaiqStTJ4h1E3dv54uXuxMLFmykym0sTiSOnkvll9xH6dg7gzXsm4ebsaPXDvLNiK9+s31f2YNm1xJZDhdIaNZ6uTihWri/ydCnuqRXcvjWrX5rHzuiT7Iw6SUGRmQAfD24Y0B0vd9uNUgkhRHU0yQQHwM/Pj/fff7+hwxA2lJNfyNrd0RZHSUqSlZIEZ/3+GKumizJz8jl4/Az9urSt8ryUjAu8s2Kr9YFXwKAqFJk17rthUOmxXUdOct97K0pHdEqUPN8DsYn888NVfPrIDAyq5RJVp1Mz+fbK5KaaVFWhp38LWnu5ATChfzfC45Is3s/VyYH+XS+9jqqqMKRHe4b0aF+reIQQwlaabKE/0fwkp2dTZOVIydn07NJRlZz8QusfIy3b4jkrth+yfvijEmZNx93l0kjMhv0xPPLxz+WSm8tpOoTHJbH9kHVtIJZvi0SpxQ4xg6rg7GDHzEGXWkbcMLA77s4OpVNWFVGAm0eH4mDFSJgQQjQUSXBEo2FfjQXAqqJguPjh7uJkb/X9/rN4E0ctFKiLiE+q1QLiYjrXhHUC4N0VW3n80zUVVgOuyH+XbLHqvNjTqVXuXiqhKJQ2uzQa1NLXrbO/D58/OhNfD6fSc10c7XnvgSk42htLz7v8OgCjQoP4x/WDEEKIxkz+BBONRhtvD3xbuJKcfqHK81RFoW+XABRFoaDIZNWoTImcgkLufWcZq166o9K1LubqrrepIL6wTv4s3xpJzOlU/oyMr9b9E1MzSUjJoK2FxqPW1vdRULj7hkF4e7iQmJKJo52RwT0CCW7fGrPZTPjZU2XOD+ngx49P38q3G/azesfh0r5bQW1acsuYMCYN6mHVFJoQQjQkSXBEo6GqCjeNCuW9lduq3Mmj6To3jw4DYN2+Y+Rb0VOphK5DZm4+q3dEMfuaPhWe07VtK/bFJFq9Y+pyigIGg8K+mETC45IwV6fa72WW/nmQh6eNqPKckA5+/Bl5vMppLyh+vfp1aUvvoDZWP36AjydPzRrDI9NGkJGTj73RgIeLY5PsHSaEuDrJn2GiUblldBihQf5VrgG5YWB3RvbqCMD2wyeqPLdCOqz661ClN08dFmIxuVEANycH3C8r1NfSwwWDqmIyFSc1NU1uAA6ftNy7afKQnhgsPHdVUQjy86ZXx5rVobG3M9LK07V4d5UkN0KIJkQSHNGo2NsZ+eDBqcwY2bvcmhxXJwfunTSYF+aMK/2wzS8sqvZ6GR1Iyay8l1SgbwtuGtm70ttLatz8644JrF94D7//+x+s+89dtPXxsLhd3Za83J2rHOUpWaf0zK3XSnIihLjqyBSVaHQc7Y08edNo7rtxCH8dPkF2XgHebs4MCW5fbudOG293i+0IKuLqWPXC5MdmjsJgUPlh0wGUkpJ5FwvYOTnY8cKccQwPKR5F8vFw5fjZNA7EWt5ebQ2DqhAc2Nqqc28eE4aDvZF3lm8l+4qChP4tPXjp9vH07mj91JQQQjQXkuCIRsvNyYHx/bpWec6Ng4P5YVN4ta+dX2Ri26HjDOvZodJzQoPaEBmfRNSpc+g6uDs5MLJ3EA9PG4H7FQuUD5+wPKVkLbOmM214L6vPnzoshIkDu7MpPI74s+cxqMWtGvpdXIgthBBXI0lwRJPWtW0rRvbqyNbI49WaqkrLzuWhD1by3K1jmTy0Z5nbCopMPPrxav6KOlmm51RWbgGr/jrMyeR03ntgCi6XjQLVflv5JXPG9i3Xa8sSezsj4/tXnQwCRJ1M5pddR0jLzsXVyZ5RvTpib8PYhRCisZAERzR5r9xxHQ9/vJo9RxOsnq4q+Ux/+dt1dPZvSXD7S1NCr/6wgR1HirdOX564lPz7YPwZnvliLW/d+7fS27oG+NQ4foNanEQZVZU7Jgzg7htsX2Mm40IeT3y6hr3HEjGoCrpe3Btr2dZIfD2ceL9Ne4LatLT54wohREORBEc0ec6O9nz00DR2RJ3gpy0RHE1MIb+wiKzcAov31YHbF/7IK3dcx/j+XUlOz+aXnUcsVBzW2XIwnvgz5+no5w0UjyT1CPQl+tQ5q0ZzHOwM9O3clhZuTjg72NHe14vrB3YvbSBqS/mFJu55ZxlxSanApdYQJVleSlYe/3hrCT8suBXfFm42ecyTyeks3XqQXdGnMJnMdPJvybThvRjQta1Mmwkh6oUkOKJZUFWFoT07MPTimpo9RxO4++2lVt1X03UWfPErbi4OxCSmWnUfg6rw6+5oHvjb0NJjj80YyV1vLQWt4ikrRYFJg4J5ctZoHO2M9fZBv2ZXFMcSUyq9XdMhO7eAL37fw1OzxpS5LTUzh3X7jpGalYOLoz1jQjvRvrVXpdfKKyjimS/WsikirszxhJQM1u+PYVD3dvz3rkk4W1jkLYQQtSUJjmiWrG2LcLl3lm+lf9e2qKqCZrY8CpOSWbbicmiQP+8/MIX5i34l/UJeaasDXQdd13G0s+OXnVFsOBDD6NAgZo0KpccVu6WKzGZMJg1He9slQIs3h6MoVFk80azprN5xmH9OGY6Tgx0FRSYWLt7Eqh2H0fVL02jvr9rOwG5tmTuuP5oOHi4OdGvri6oqbI2M5/FP1lBoMld4fYDdRxN4atGvvHv/ZJs8NyGEqIwkOKJZal3NqRZdh5jTqfRs39piZeBiCi4O5UchBnRrx2+v/YNNEbHsij5FakYOu4+eorDIXJp0lXRNX7PzCI9MG8Hsa/qwMTyWHzeFsy8mEQAPF0emD+/FTaNCaenhUq3nUvZ56cSfOV9lclMiv9BE0vlM2rf24rH//cyOqJOlI1GmyxK+XdEJ7IpOKP26dQs3RvUO4qctERan5zRNZ9uh4xw+cbbMuichhLA1SXBEncq4kEfS+SzsjAbat26BncH6hpq10dm/JZ39WxKblGrVh3uJNt7uVi1SNmsao0M7VXibndHAuL5dGdC1HVNe+JIik1au+F/JY7y57E/+jIxn77HEMhWZM3Py+eL3PSz9M4LpI3uz71gi6Rfy8HJz5voB3biufzerp3kURbEyaSs+d/3+GLYfPmHV+VDc2f3HzeFWn29QFZZvj5QERwhRpyTBERbpuk7UyWRSs3Jwc3IgpKOfxUQl9nQqn63dxYYDMaUf5i1cnZg+ohdzx/XH3li3RbQVReGeiYN59H8/V+t+7X296NXRj8Mnzlaa6BhUhXatWtCvS0CV11r112GycvOrTLAUYO+x4lGbK0c/NF0nM7eARWt3o1C8IPrUuXQOxJ7mg9V/8cGDU+jezrfKGBSluGjg4RNnLY6uuDk7ENDSg399t77M9nhbM2s6Cecy6uTaQghRQhIcUSld11m14zCL1u7mdGpm6XEvNyduGdOHOWP7YTSUT1T2xSTywHvLMZm1MklC+oU8Fq3dzfZDx/nwoal1Hv/o0E48NWsM//5xo1XnG1SF3kFtCG7fmrmv/8j5rJxySY5BVXBzduSNuydZXCOz6q9DFkePrE0hSs4ruV5WTj73vL2Mxc/cRmuvqqfjZo0K5ekv1lZ5jqooTBsWgp3RwKHjlpOh2lAorlYthBB1SXpRiUq9v2o7L32zrkxyA5CWnccHq7bz1Ge/lGsomZtfyCMfrabIpFU4AqLpOtGJKby17M9ax1dQZGLNrij+/sZPXL/gM6a++CXvrdxG0vms0nNmjuzNBw9aTqYMqsI1YZ1p6eFCay83vpt/C9NH9MbJ3q70HHujgRuHBPPd/Fuq3ElUoqp+V7Wl6Tq5BYX8sOmAxXPH9u3C4B6BVTYltTOqxJ5OZc2uKMpPqNne4O7t6/wxhBBXN/kzSlRod/Qpvvh9T6W368DG8FiWb41kxmWNKX/dE012XtX1ZzRN59fd0YwKGljj+JLOZ3HvO8tISMkoM53y1bm9fLVuL8/fOpZJg4MBGNwjkP+bOpy3l2+t8FoGVcHb3YVHp48sPebt7sKTN43mocnDOJGchq5Du1aeuDo5VHiNirg42pOTX1jj52iJWdNZtvUgw3p2wN7OQBd/H5wc7MqdZzSo/OP6QRw9dY60C3kVXqugyMz2qBNsO3wCVVVKp8TqgoOdkYmDe9TR1YUQopgkOKJCP2w6YLEqsAJ8t3E/00f0Kp2u2bg/xuKWZIAis8ahxDSG1SC2vMIi7nlnKWcujtSUqTZ8Md7nv/4Dbw8XhvRoD8Ccsf3wcHHig9XbSb1iZMXOaGDiwO4YjeXXFTk52Flc51KZsX278OOmA9VuBFoduQVFpfV+nOztmDw0mLtuGFymYODB+DPc8/ZSTGatsssAl94zXau7jugK8PIdE3CrRqIohBA1IVNUohxd19l++ITFD+biRa8ZnEm7NCWUnVdg9a6l/MLy9VKs8fueoySmZFYZn6oo/G/NjjLH/jYkmL9fVzxqdPlsTX6hiS/+2MPUF74kOuFcjWKqyIwRvephsueSvMIiftoSwZz//EB6di5QnPAt+PxXTGbN6nU1JWfVpApPVffxdnfmw4emck1Y5xpcWQghqkcSHFGOWdMt/rV/ufxCU+m/fVu4oarWfTR6ONesmu3ybZFYqoGn6TqRx89y/Gxa6bGtkcdLFxxf+VmvX6zme+87y0ivZBqnutq1asHTN19T5TmBvi1s8lglzJrO6fOZ/PPDVWzYH8Py7ZEknc+q0aLhknsYLk5ZVUUBjKpC17atgOIEs6TQoaO9kduu7csf/76Lgd0Dqx2HEELUhExRiXKMBhUvN2fSLo4CVEVVFVq6XypEN2lQDzaGx1q8n5uTAz3bWl6oW5HTqZlWjxIlpmYSczqFHzeFEx6XVOW5mq5f7Bh+iLnj+tcotsslnc/k8992V3r7yF4dee3v1/PEJ7+w7dDxWj9eCU3TOXTiLI9/uqbW13pl3nUcPnGW81m55BUUsSv6FIUmc5m6OqqiYDSo/PfuSQzr2YG4pFR2HDlFYZEJ/5YejOodhIOd/KoRQtQv+a0jKjRteAiL1u6u8i9/g6owOrQT7pet9xgW0oEOrb04dS69yimkOWP7YlfBFnNrVOfD8pt1e8sV0auKruus2Fb7BKegqLjB5dn07ErP2XIwns3hcbx5z42s2BbJp7/uIjWr7nZe1USnNi25rn+30q/TsnJZ+dchft4RRfqFXNydHbluQDemDe9FK09XAILatJTO5EKIBidTVKJC00f0wtXJvtLEQKG4iNwd48smAgZV5f0Hp+Dn7V58Tpnbir+aNiyEOdf2rXFsI3sHlV6rKnYGlX2VFNGrypU9pmpi3f5jFtcJKcDHa3ZgUBVmjOzNihdub1QjHR4ujrS/YgrNy92ZeRMGsOLFuWx+4z5WvzyPeycNKU1uhBCisZAER1TIx8OVj/45DXdnh3KJiqoo2BkN/PfuSRXuMPLzcueHBbfy+E2jad/aC6NBxdHeyNDgDnzw4FQW3HKN1et0KjJjRK/S3VKVKdnmXJNFvpfXvqmpVdsPWRw1KlmkfejEWQBcnBy49Zo+NVrca2uqojB9eC/sjAZ0XSevoMjiay6EEI1J4/lzUTQ63dv5suqlO1iz8wirdx4mNTMHN2dHJvTrypShPfGp4q92F0d7Zo0KZdaoUJvH1dHPm0dnjOS/S7ZUuCVdVRTatHQnMSWz4gtUwaAqXNunS61jTDqfbfWo0bn0C9Ch+N/3TBpMYmomv+89WtzV/GJSUZL0+Hi6ci6j9iNMVVFVhY5+3owJ68RrP2xkzc4o8gqLMKgKI3sHccvoMPp0rrpNhRBCNDRJcESljp9NY0tEHDn5hUwZGsLYvl1o4erU0GEBcMuYPvh4uPLxmh1ldko5OdgxdVgIPh4uvLNia7UabULxVNbMkb1qHZ9zBQX3KuPoYEeRycyvu6P5cfMBjiakAMWVk4tMZnSgnY8nM0eFMmlgdx54fyWHTpypdX2dy4v5lRRLVFWFcX27MLp3EHNfX4ymXapIbdZ0tkTEsfFALP+cMpzbx/Wr1eMLIURdkgRHlJOSeYFnv/yN3dEJqIqCqiqYNY3/LtnM9OG9eHj6iHrrCl6VsX27cG2fzhw5dY6z6dk42dsRGtQGJwc7ftl1pFrJTckH/Pybr7HJAtkxYZ04fjbN4iiOk70d3du24t53l7E/5jSXz9wVXNx+3znAh9f/MZG9xxL4buMBhgS350JeAXFnzle7KaaqKHQN8AFFoWf71ozu3ZHNeyLw9GqJbwt3hod0JL+wiGkvfY3JbC73GpYkO++s2EoHPy9GhHS0+rGFEKI+SYIjyki/kMcdry8m+eLuH03X0czFH2oms8biLeGcy7zAwr9PrPY6Gk3T2RF1goPHz2A2axgKs+kRbMKpFsmSoij0CPSlR2DZtUDDenbAzqBSZGU9n5COfvz9uoEMDW5f41guN3VYCF/8tqfK5ENVFKYOD+G/SzcTHlu8hf3yQZmSf8YkpjD5+S+A4kXcZl1H13W6BrREVVVOJKeTV1BkVVyarvPJIzM4mZzOV+v28sAHKy9Og8XTI9AXJwc7ok4mo2maxQTxha9/5/nbxjGsZwcMqiznE0I0LpLgiDI++3UnyenZlU5/6DpsPBDL1kPxjOwVZPV1d0Wf4sWv/+BsejYGVUVRLiZMu47zyPSR3Hixb5SteLg4MnFQD1ZsP1TpOaqi4OpkzxeP3UQHP2+bPr5vCzdevH08z3y5FoXyoyzqxcRs2rBeTHvpyyqTictvMl3W3DQ26Tz+LT347qlbmPriV1bFpQDbDx0v7S5++cLh6FPnWPD5WuyNBqumvzIu5PPwR6sJ9G3B+w9Mwb+lh1UxCCFEfZA/u0SpvIIiVm4/bPHDzaAq/LQlwurr7o4+xQPvLSc5o3hUyKxppZWSs3ILeOHrP1i29WDNA6+AWdOqrEEDoKOz8B8TbZ7clLhuQDc+emgavTr6lTnu6mTP0J7tuTasM5/+urPGXS3Nmk5iaiYrtkfS2d/ytJqqKvQKasMzX/6Gpunl3ueSJKzQVL0WGokpGfzjzSVk5uRX635CCFGXJMERpY6fPU9eoeWpDrOmW6wKXELTdF76dh2arlc5SrHwp81k59ruA3LjgVh2RJ20eJ4tKwhXZEC3dnz+2E2seukO3r73b4wI6UBeQRFbI4/zzsptrN0TXat+VZpWXJhw5mUd3as6t4WrE7pu22aaZk3nXMYFmyepQghRG5LgiFLV2ZSjW7mwdffRUySdz7K4nsNkMvPzzijrA7Bg8eZwy3VodFix/VCZXlp1xcfDlUW/7WLboUtNTK19DS25kF9IcPvWTOjftcrzbhoVSuTx2u++qoim69Ua1bMVW72GQojmR9bgiFLtfDwxGlSLjTZVRaGTlTuNIo+fwaAqFj9UFUUh8vhZq2O15nGt2V2Uk1/IqXPpdAnwKT2m6zoxp1M5cz4LR3sjvToW78yqje837ufwieQaNb20hq7rvDx3Al0DWvHthn2cz7rUR6x1Czfmju/PjBG9WPVX5WuSautcxgUKikx1Xo35fFYOS/88yPLtkaRm5GBvZ2B4SEdmjQqV+jxCiFKS4IhS7i6OjO/Xld/2RFeZkGi6zk1WFvArXsR6ecWVKs614Yd/dS51+SjAlog4Pvz5L2JOp5YeK6mtc+/EwTg7Vr8DulnT+GlLRJ0lN3YGlYCWHhhUldvH9WP2NX04GJ9Edm4Bnm5OhLT3K93x5unixNnCqtcmlShux1G9kb263k11NOEc97yzjOzcgtLXs6DIzPr9MazfH8PYPl14Zd51GGvY50wI0XzIbwFRxl03DMLJwb7SXk+qqhDc3pdxfa2r9ts5wAezZt1WbWsWyloryN8ba3ax2xsNBPh4ArBs60Ee/ng1sUmpZc7JKyjih40HuOutJeTmF1Y7ljPns+qs+rBBVZjQvxtuzpcanhoNKn06BzCydxC9O7Yps51/4qAeFqfuFAW6BPiw6LGZjOhlXZ0bVVHo1cGvThOL7Nx87n13OVm5+ZUmi+v2H2Pai1/ZdD2XEKJpkgRHlNHWx5PPHplR2jzRoCooyqVGmQO6tuXDB6diZ7Suds3wkA54uVlR/ViByUN61jjuK900KtTiyINBVZg4qAcujvacOpfBqz9sACoe/dF0neiEFD5as6PasRQWVW9XkrUMqoKTvR1/v36g1feZPqIX9nYGqspxdB3uGN+f0CB/3rznb9w7aXCV50P1RvVq6uedUWReyLM4OpeQksFj/1sj63OEuMpJgiPK6RLgw+qX5/H2fX9j4qAeXBvWmZkjQ/l+wWw+fGhamdECS+wMBh6fOdrieXdOGEBLD5fahF3Gdf270aNdq0qLERpUBVcnB+ZNGAAUj95YGtnQdJ3l2yKtLqoH8GdkPPe+t8z6wKvBy82ZTx+ZQduLI1DWaOXpytv3/g17o7HcKF3J13ffMIjx/S4tWJ4zth+9OvhV3llegVG9gxjXr/Y9vKqy+q/DVu/+2nMswaZruoQQTY+swREVMqgqI0I62qQU//h+XSkym3n1+w3kF5owqAq6Xrz2RVUV/n7dQO66YZANor7Ewc7Ihw9N48nPfmFX9KnSx1SU4rYTbbw9eOveG2nj7Q7A5og4q3YX5RUUcTA+iYHdAy2euyk8lsc++bnGdW4sWfrc7bg5O1T7fgO6teOnZ2/jx03hrPzrEHkFRaiKwrCeHbh5dBgDurUrc37Ja/n6T5tZsysKk1krbRHhYGdk5sjePDB5aJ2vv0nNyrH6XFVRWLXjULkaREKIq4ckOKJeTBzYg9G9O7F29xEOxp/BpGk4U8jdU6/Bx9OtTh7T3cWRj/45jeiEc/yy6wipmTm4ONozJqwTg7oFlhndybei/s+lcy1vKy8sMvHiN3+AXmf5DQVFRbhR/QQHiqciH585ioenDmPX3v307xuGvV3lO8WcHOx47raxPDhlGFsj48nKycfL3ZkRIR1xdapZDNXl4uhAWnaeVedquk5SalYdRySEaMwkwRH1xsXRnukjejN9RG/MZjPh4eF4uTnX+eN2a9uKbm1bVXmOf0sPzmflWrXTye/iqE9V1h+IISu3wOoYa2LhT5tZ+I+JtbqGoig42hmsHn1p4epk87Ya1hrfryuL1u6yKmFUlOp1dBdCND+yBkcIiptjWpPcdA3wKVMzpzLhsadtEVaVNh6IJaWOdmc1RlOHhVS6u+9Kug7DpdO5EFc1SXCEAMb27UKAFc0ire02fibNulozJUo+tu2M1v9IarrOnmMJFd6WnZvP5og41u6O5kDs6TJNNZuq1l5u/NuKEStFKe73Nd5CZWchRPMmU1RCULyQdvqIXry9fGuV532zfh+Th/YsrZ1TmXPp1RtZaefbgvsmDSE5PZs3l/1p9f0KrlgPdCGvgHdWbOXnHVFlmmb6t/Tg3kmDuX5A92rF1diMCe3E2/f+jSc/W0NBBdvvVVXBoCi8/o+JONnLFJUQVzMZwRGC4h1dK7cfwtIEiKbrLLWiqWRGjnWLYQHuv3EIy5+/nbF9uzD7mj509POy+r5tLht1upBXwJ1v/MSK7YfKdQQ/nZrJM1/8xld/7LX62o3ViF4dWfOvO7luQLdyhQUHdG3LosdusmqXmxCieZMRHNHk6brO7uhTLN4Swb6YRDRNJ6iNNzeNDOXaPp2tKkp4/GwaJ5LTLZ5n1nTW7o7m/6aOqPK86lT07dq2FcrFGjOKovD4jFHc++5yi/fzbeFK/y5tS7/+6OcdxJ05X+V01DsrtjKsZ3uCrOwl1lh5u7vwyh3X8eTM0Rw5lYxJ02nv2wJ/K6YZhRBXBxnBEU2aWdN44es/uPfd5WyNjCc7t4Cc/EIOHT/L01+sZd4bi8nKsVy2P9OKc0pYszsqNMjfqgWxqqKU2+HVv2s7ege1qbRIYYn7/za09Jy8giJWbj9kca2NQVVY8qflEaimwt3FkYHdAxka3F6SGyFEGZLgiCbtw9V/8fPOKIAyhfpKdkRFnzrH45+usXidFq5WtJO4yNPVciXnmaN6WywcaFAVxoR1KlfBWVUV3r73b/QMbF163uX3UYCHp41g4sAepccPnThLnhW1fMyaztbIeIvnCSFEUydTVKLJupBXwPcb91d5jlnT2XM0gcMnzhLcvnWl5wX6tqCzf0tik1Kr7HWkKkqZxKIyvTr4MWVoT1ZsP1Th7SWtIv45ZXiFt3u4OLLosZlsP3yCZX8e5HhyGg5GI4N7BDJ9RG/atfIsc35hkeXigyUqWpwrhBDNjSQ4osnacCDWqg9rg6qwekdUlQmOoijcMb4/Cz5fW8U5YGc0MG14L4uPqSgKC265Bk9XJ77dsB+TyYzBoKLrOmZNp0uAD6/deX2V0yrVaZdh7fSMqijV6l1lKzGnU9l7NIEis5nAVi0Y2rNDnXYeF0IISXBEg4s5ncqKbZGcPJeOvdHAgK7tmDiou8WmnucysjGoKmZNq/I8s6ZzLsNyXZoJ/bsRfyaNz9buwqAqZaaYDKqCQVV5854bae1lXWsJg6ry4ORh3D62H3/sO0rS+Swc7e0Y1rM9PQIrT7Zqon1rL3p18OPQibNVFizUdJ1pI0Js+thVOX42jRe/+YOD8WdQlOLET9N0vNyceWjKsAariiyEaP4kwRENpsikseDztazbH1OaUCjAnwfjeXflNl6YM65MV+srOTvYW1V9WFUVnB3srYrpvhuHENbJn+837uevwyfQAUc7I5MGB3PLmDACfVtY+ewucXdxZPqI3tW+X3XdO2kw971X+e4rg6rQtlULxvap267fJU6cTeP2hT+SV1AIUNpgFSAtO5cXvv6DnLxCbh4TVi/xCCGuLpLgiAah6zqfbY4m/OR54NIC4ZJ0pbDIxILPf8XF0Z5hPTtUeI3hIR15Y+kWi4+laToje1tftn9wj0AG9wikyGQmv7AIZ0f7Ou+UbQsDuwfyyh3X8dxXv6NpemnyV9L5O9C3BR8+NA0Hu/r5sX/1h43kFRRWudj6jaVbuKZPZ1p5utZLTEKIq4ckOKJBRJ1MZv+J1Epv1yluX/Dm0i0MDW5fWifmcu1aeTK4RyC7o09V+iGqKgot3JwY3btTtWO0MxqsqqHTmEzo342+XQJYuf0Qm8LjyC0oxL+lB1OG9mRk7yDsDPXzfE6cTWNvJW0krrR8WyT3TBxcxxEJIa42kuCIBrFs26HSkYXK6DqcSE7nYPwZege1qfCcF+eMZ+7rP5Kcnl0uyTGoCvZGI2/d+7cml6jUho+HK/+4fhD/uH5Qg8UQHpdk1Xmarl9MhCTBEULYVqMfd9d1nXnz5rF8edm1Benp6Tz44IOEhYUxZswYVq1a1UARipqITUq1av0MQPyZ85Xe1tLDhW+euoVpw3vhaH8pX1cVhdGhnfjmqZvpWcXuKVE3TGbrt6KbzFUvEhdCiJpo1CM4mqbxyiuvsH37diZOLNtFeP78+eTn57N48WIiIiJ45pln6NChA716Wd7CKxqeXTW2CFvaTtzC1YmnZo3hocnDiElKRdN02rXyxNvdpcr7ibrTwc/bqvMMqkKnJt42QgjRODXaBCc5OZnHHnuMxMRE3N3dy9x26tQpNm3axIYNGwgICKBLly6Eh4fz/fffS4LTRPTtHHBxS7Plc3sH+Vt1TWdHe3p3rHgqS9SvPp38aevjSWJKBlW9xWZNZ9rw+tu2LoS4ejTaKarDhw/j5+fHsmXLcHMrW3ckIiICPz8/AgICSo/17duXAwcO1HeYooamDgupsmIwFP91P7Bbu3JVe0XjpygKj0wbUWVyoygK4/p2oXs733qLSwhx9Wi0IzhjxoxhzJgxFd6WkpJCq1ZlGxR6e3uTnJxc7ccxV2OtgLAdHw9npg/oyJLdFfdFKqld88TMUfIe1aGS17bkv+ezcklMycBgUOnUxhtHe7saX3tYz/a8fPt4Xv5uPUVmc2lCW1LzaFyfzjx367Xy/lL+fRANQ96HxsHS+2Dt+9NgCU5+fn6lCYmPjw/Ozs6V3jcvLw97+7KF2+zt7SksLKx2HJGRkdW+j7CNcb0CcLI3sGLvCbLzi1CVi8XggI4+btw+vAtpSSdIs25DjqiF37bsZPX+kxw4eakXl4NRZXg3PyaGtcPFoWaJTms7WHjzAP46lkz0mQxMZg0/T2eGd/XD38uFqMMV9+q6Wsnvo8ZB3ofGobbvQ4MlOBEREcyZM6fC2z744AOuvfbaSu/r4OBQLpkpLCzE0dFyl+crhYSEYKin2iDiErPZTGRkJPfNGMe9M2D74ROcOpeBndFAvy5t6dTGukWqonbMZjMr1m3j7d8PY7pslAWgwKSxKSqJo8k5LHpkOi3cKv+jw5KhA20QbDNW8vMgv48alrwPjYOl96HkdksaLMEZOHAgR48erdF9fX19SU0tWyQuNTUVHx+fal/LYDDIN3IDKnn9x4TVT/sAUVZBkYkP1h2myGSucNu+WdNJOp/Jqz9u4s17bmyACK8u8vuocZD3oXGo7fvQaBcZVyU0NJTTp09z9uzZ0mP79u0jNDS04YISognacCCGCwWmKmsSmTWdLQfjOJOWVY+RCSFE7TTJBKdt27YMGzaMxx9/nOjoaJYsWcKaNWuYPXt2Q4cmRJOy5WA85ZtgVECHbZHH6zocIYSwmSaZ4AAsXLgQFxcXZs6cyccff8yrr74qNXCEqKac/MIqt3KXUFWFnILqL+IXQoiG0mi3iV9u48aN5Y55e3vz8ccfN0A0QjQfvi3cLPYEg+JpKun4LYRoSppEgiMEQF5hEb/vOcqeYwmYTGYCfb2YPDSYNt4eDR1ak3XDwO6s3hFl8Twne7sadWQXQoiGIgmOaBI2hcfy7Fe/kZtfhKoq6LqOoigsWruLGSN789iMURZ7VonywoLaENTKnROp5buxX+62sX1xqmEtHCGEaAjyiSAavb+iTvD4J2vIyy8CQNN0dP3if4Elf0bw2g8bGjbIJkpRFO4fF0zQxeaYqnJpybFBLf735CE9uev6QQ0SnxBC1JSM4IhGTdd1Fi7ehI5e6WJYXYcV2w9xy5gwgqQzdbW5Odrx+WMz2Rgex09bIog/cx6DqtK3SwCzRoXSv2tbFMWqvVZCCNFoSIIjGrXwuCROncuweJ5BVVi2NZInbhpd90E1Qw52RiYO6sHEQT0aOhQhhLAJmaISjVrs6VSr6rSYNZ2jiSl1Ho8QQoimQRIc0agpqmJVnRYou35ECCHE1U0SHNGo9ergZ9V5qqIQ1sm/jqMRQgjRVEiCIxq1LgE+hHRojapWPTqjozN1WEg9RSWEEKKxkwRHNHpP33It9kZDlVNQD/xtKK293OoxKiGEEI2ZJDii0esS4MOiR2fSobUXULxjqqSon6ujPU/cNJo7xg9oyBCFEEI0MrJNXDQJ3dv58tOztxERn8Teo4kUmc0E+rZgTGhnHO3l21gIIURZ8skgmgxFUQgN8ic0SBYTCyGEqJpMUQkhhBCi2ZEERwghhBDNjiQ4QgghhGh2JMERQgghRLMjCY4QQgghmh1JcIQQQgjR7EiCI4QQQohmRxIcIYQQQjQ7kuAIIYQQotm5aisZ67oOgNlsbuBIrk4lr7u8/g1L3ofGQd6HxkHeh8bB0vtQcrzkc7wyim7pjGaqsLCQyMjIhg5DCCGEEDUQEhKCvb19pbdftQmOpmmYTCZUVUVRlIYORwghhBBW0HUdTdMwGo2oauUrba7aBEcIIYQQzZcsMhZCCCFEsyMJjhBCCCGaHUlwhBBCCNHsSIIjhBBCiGZHEhwhhBBCNDuS4AghhBCi2ZEERwghhBDNjiQ4okHous68efNYvnx5mePp6ek8+OCDhIWFMWbMGFatWtVAEV5doqKi6Nq1a5n/TZ06taHDuioUFBSwYMEC+vXrx7Bhw/j8888bOqSr0rp168r9DDz00EMNHdZVobCwkIkTJ7Jr167SYwkJCcydO5fQ0FCuv/56tm3bVu3rXrW9qETD0TSNV155he3btzNx4sQyt82fP5/8/HwWL15MREQEzzzzDB06dKBXr14NFO3VITY2lu7du/Ppp5+WHjMa5ddDfVi4cCGHDh3iq6++IikpiSeffJI2bdowYcKEhg7tqhIbG8vo0aN5+eWXS485ODg0YERXh4KCAh599FFiYmJKj+m6zv3330+XLl1YtmwZ69ev54EHHuDXX3+lTZs2Vl9bfoOJepWcnMxjjz1GYmIi7u7uZW47deoUmzZtYsOGDQQEBNClSxfCw8P5/vvvJcGpY3FxcQQFBeHj49PQoVxVcnNzWbJkCZ9++inBwcEEBwcTExPDd999JwlOPYuLi6NLly7yM1CPYmNjefTRR8s1zdy5cycJCQn8+OOPODs7ExQUxI4dO1i2bBkPPvig1deXKSpRrw4fPoyfnx/Lli3Dzc2tzG0RERH4+fkREBBQeqxv374cOHCgvsO86sTFxdG+ffuGDuOqEx0djclkIiwsrPRY3759iYiIQNO0Bozs6iM/A/Vv9+7dDBw4kMWLF5c5HhERQY8ePXB2di491rdvX8LDw6t1fRnBEfVqzJgxjBkzpsLbUlJSaNWqVZlj3t7eJCcn10doV7W4uDg0TWPSpElkZ2czYsQInnjiCVxdXRs6tGYtJSWFFi1alOmI3LJlSwoKCsjIyMDLy6sBo7t66LrO8ePH2bZtG//73/8wm81MmDCBhx56qMpu1aJ2brnllgqPV/ZZcPbs2WpdXxIcYVP5+fmVJiQ+Pj5lMvIr5eXllftlYm9vT2FhoU1jvBpV9b54eXmRkJBAQEAAr776KllZWbz22ms8/vjjfPTRR/Uc6dWlsu95QL7v61FSUlLpe/H222+TmJjIv/71L/Lz83nmmWcaOryrjq0+CyTBETYVERHBnDlzKrztgw8+4Nprr630vg4ODuW+gQsLC3F0dLRpjFcjS+/Lzp07cXBwwM7ODoB///vfTJs2jeTkZHx9fesz1KtKZd/zgHzf1yN/f3927dqFh4cHiqLQvXt3NE3j8ccfZ/78+RgMhoYO8ari4OBARkZGmWM1+SyQBEfY1MCBAzl69GiN7uvr60tqamqZY6mpqbLozwaq+74EBQUBSIJTx3x9fUlPT8dkMpXuWktJScHR0bHcInxRtzw9Pct8HRQUREFBAZmZmTJVWM98fX2JjY0tcyw1NbXctJUlsshYNBqhoaGcPn26zDzrvn37CA0NbbigrgKxsbGEhYWRkJBQeuzIkSMYjUYCAwMbMLLmr3v37hiNxjKLJ/ft20dISAiqKr+e68vWrVsZOHAgeXl5pceOHDmCp6enJDcNoHfv3hw+fJj8/PzSY/v27aN3797Vuo78BIlGo23btgwbNozHH3+c6OholixZwpo1a5g9e3ZDh9asdezYkcDAQJ599lmOHTvG3r17efbZZ5kxYwYeHh4NHV6z5uTkxOTJk3nhhRc4ePAg69ev5/PPP690OlHUjbCwMBwcHHjmmWeIj49ny5YtLFy4kL///e8NHdpVacCAAfj5+TF//nxiYmL45JNPOHjwINOnT6/WdSTBEY3KwoULcXFxYebMmXz88ce8+uqrUgOnjqmqykcffYSrqyuzZ8/m/vvvZ/DgwSxYsKChQ7sqzJ8/n+DgYG6//XZefPFFHnzwQcaNG9fQYV1VXF1dWbRoEWlpaUybNo2nn36am266SRKcBmIwGPjwww9JSUlh6tSprF69mg8++KBaRf4AFP3KCjtCCCGEEE2cjOAIIYQQotmRBEcIIYQQzY4kOEIIIYRodiTBEUIIIUSzIwmOEEIIIZodSXCEEEII0exIgiOEEEKIZkd6UQkh6tyYMWM4ffp0ueN9+vThhx9+qPX1d+zYQatWrUp7aNWXkydPMmnSJA4ePFivjyuEsEwSHCFEvViwYAHXX399mWMl3ctra+7cuXz99df1muCcOXOGu+++m4KCgnp7TCGE9STBEULUCzc3t2bTGX79+vU8++yzzeb5CNEcyRocIUSD03WdDz74gGHDhtGvXz/uuecekpKSSm+PjY3lzjvvJCwsjJCQEG655Rbi4uKA4ukvgDlz5vDee++xfPny0mMlbrvtNt577z0AnnrqKZ566iluvPFGBg8ezIkTJ8jKyuLxxx+nT58+DBs2jJdffrlMJ+Mrbd68mX/+8588/fTTtn4phBA2IgmOEKLBffvtt/z888+88cYbLF68GG9vb+bNm0dRURGapnHPPffg7+/PqlWr+PHHHzGbzbz++usALF26FID33nuPefPmWfV4q1at4v/+7//43//+R/v27Xn66afJzs7mhx9+4MMPPyQyMpKXXnqp0vv/61//YtasWbV/4kKIOiNTVEKIevH888/z8ssvlzm2fft2nJ2d+eyzz3j++ecZOHAgAC+99BLDhg1j69atDBo0iFmzZnHLLbfg7OwMwJQpU/jss88A8PLyAsDDwwMXFxerYgkJCSkd5Tl16hTr169n9+7duLm5AfDyyy8zefJk5s+fX3pMCNG0SIIjhKgXDz30EOPGjStzzMnJiZycHM6ePcvDDz+Mql4aVM7Pz+fEiROMGTOGm2++mZUrV3Lo0CHi4+OJioqiZcuWNY7F39+/9N9xcXFomsaIESPKnKNpGidPnqRnz541fhwhRMORBEcIUS+8vb0JDAwsd9xsNgPwzjvv0KFDhzK3eXh4kJOTw/Tp02nRogVjxoxh4sSJxMfH8/nnn1f4OIqilDtmMpnKfO3g4FDm8d3c3Fi2bFm5+/n6+lp+YkKIRkkSHCFEg3J3d8fb25uUlBRGjRoFQGFhIY888gh33nknGRkZnDt3jp9//hmjsfhX1rZt29B1vcLr2dnZkZOTU/q1ruskJiZW+vgdOnQgOzsbRVFo164dAEePHuXdd9/ltddew9HR0UbPVAhRn2SRsRCiwc2dO5e3336bjRs3cuLECZ555hn2799Px44d8fT0JDc3l/Xr15OYmMiSJUv47rvvKCwsLL2/s7MzMTExZGdn07NnTzIyMvjmm29ISEjgtddeIzMzs9LHDgoKYvjw4Tz22GMcPHiQw4cPM3/+fHJzc3F3d6+Ppy+EqAOS4AghGtydd97J9OnTee6555g8eTJJSUksWrQIDw8PwsLCuP/++3nxxRe58cYbWb58Oc899xznz58nOTkZKN4GvnDhQt577z3at2/Pk08+yUcffcTkyZPRdZ3x48dX+fgLFy4kICCAuXPncscdd9ChQwfefPPN+njqQog6ouiVjfMKIYQQQjRRMoIjhBBCiGZHEhwhhBBCNDuS4AghhBCi2ZEERwghhBDNjiQ4QgghhGh2JMERQgghRLMjCY4QQgghmh1JcIQQQgjR7EiCI4QQQohmRxIcIYQQQjQ7kuAIIYQQotmRBEcIIYQQzc7/A0H8/eNkmPilAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 4
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
